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Finding the Third Proportional to 609,229,008 and 928,128,024

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Solution

The third proportional to 609,229,008 and 928,128,024 is: 1,413,953,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,229,008 : 928,128,024 = 928,128,024 : x
  2. Step 2: Convert to fraction form
    609,229,008/928,128,024 = 928,128,024/x
  3. Step 3: Cross multiply
    609,229,008x = 928,128,024 × 928,128,024
  4. Step 4: Simplify right side
    609,229,008x = 861,421,628,934,144,512
  5. Step 5: Solve for x
    x = 861,421,628,934,144,512/609,229,008
  6. Step 6: Final answer
    x = 1,413,953,731.06

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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.