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Finding the Third Proportional to 1,092,070,616 and 1,545,246,444

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Solution

The third proportional to 1,092,070,616 and 1,545,246,444 is: 2,186,476,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,070,616 : 1,545,246,444 = 1,545,246,444 : x
  2. Step 2: Convert to fraction form
    1,092,070,616/1,545,246,444 = 1,545,246,444/x
  3. Step 3: Cross multiply
    1,092,070,616x = 1,545,246,444 × 1,545,246,444
  4. Step 4: Simplify right side
    1,092,070,616x = 2,387,786,572,694,645,248
  5. Step 5: Solve for x
    x = 2,387,786,572,694,645,248/1,092,070,616
  6. Step 6: Final answer
    x = 2,186,476,348.43

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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.