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Finding the Third Proportional to 319,107,114 and 698,748,687

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Solution

The third proportional to 319,107,114 and 698,748,687 is: 1,530,049,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,107,114 : 698,748,687 = 698,748,687 : x
  2. Step 2: Convert to fraction form
    319,107,114/698,748,687 = 698,748,687/x
  3. Step 3: Cross multiply
    319,107,114x = 698,748,687 × 698,748,687
  4. Step 4: Simplify right side
    319,107,114x = 488,249,727,584,224,000
  5. Step 5: Solve for x
    x = 488,249,727,584,224,000/319,107,114
  6. Step 6: Final answer
    x = 1,530,049,648.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.