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Finding the Third Proportional to 740,412,931,374 and 1,042,664,564,520

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Solution

The third proportional to 740,412,931,374 and 1,042,664,564,520 is: 1,468,301,468,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,412,931,374 : 1,042,664,564,520 = 1,042,664,564,520 : x
  2. Step 2: Convert to fraction form
    740,412,931,374/1,042,664,564,520 = 1,042,664,564,520/x
  3. Step 3: Cross multiply
    740,412,931,374x = 1,042,664,564,520 × 1,042,664,564,520
  4. Step 4: Simplify right side
    740,412,931,374x = 1,087,149,394,105,681,292,820,480
  5. Step 5: Solve for x
    x = 1,087,149,394,105,681,292,820,480/740,412,931,374
  6. Step 6: Final answer
    x = 1,468,301,468,058.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.