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Finding the Third Proportional to 424,415 and 915,304

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Solution

The third proportional to 424,415 and 915,304 is: 1,973,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,415 : 915,304 = 915,304 : x
  2. Step 2: Convert to fraction form
    424,415/915,304 = 915,304/x
  3. Step 3: Cross multiply
    424,415x = 915,304 × 915,304
  4. Step 4: Simplify right side
    424,415x = 837,781,412,416
  5. Step 5: Solve for x
    x = 837,781,412,416/424,415
  6. Step 6: Final answer
    x = 1,973,967.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.