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Finding the Third Proportional to 609,229,020 and 928,128,042

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Solution

The third proportional to 609,229,020 and 928,128,042 is: 1,413,953,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,229,020 : 928,128,042 = 928,128,042 : x
  2. Step 2: Convert to fraction form
    609,229,020/928,128,042 = 928,128,042/x
  3. Step 3: Cross multiply
    609,229,020x = 928,128,042 × 928,128,042
  4. Step 4: Simplify right side
    609,229,020x = 861,421,662,346,753,792
  5. Step 5: Solve for x
    x = 861,421,662,346,753,792/609,229,020
  6. Step 6: Final answer
    x = 1,413,953,758.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.