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Finding the Third Proportional to 649,864.69 and 950,731.31

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Solution

The third proportional to 649,864.69 and 950,731.31 is: 1,390,889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,864.69 : 950,731.31 = 950,731.31 : x
  2. Step 2: Convert to fraction form
    649,864.69/950,731.31 = 950,731.31/x
  3. Step 3: Cross multiply
    649,864.69x = 950,731.31 × 950,731.31
  4. Step 4: Simplify right side
    649,864.69x = 903,890,028,567.97
  5. Step 5: Solve for x
    x = 903,890,028,567.97/649,864.69
  6. Step 6: Final answer
    x = 1,390,889.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.