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Finding the Third Proportional to 609,229,398 and 928,128,561

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Solution

The third proportional to 609,229,398 and 928,128,561 is: 1,413,954,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,229,398 : 928,128,561 = 928,128,561 : x
  2. Step 2: Convert to fraction form
    609,229,398/928,128,561 = 928,128,561/x
  3. Step 3: Cross multiply
    609,229,398x = 928,128,561 × 928,128,561
  4. Step 4: Simplify right side
    609,229,398x = 861,422,625,743,930,752
  5. Step 5: Solve for x
    x = 861,422,625,743,930,752/609,229,398
  6. Step 6: Final answer
    x = 1,413,954,462.10

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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.