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Finding the Third Proportional to 731,014 and 1,096,517

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Solution

The third proportional to 731,014 and 1,096,517 is: 1,644,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,014 : 1,096,517 = 1,096,517 : x
  2. Step 2: Convert to fraction form
    731,014/1,096,517 = 1,096,517/x
  3. Step 3: Cross multiply
    731,014x = 1,096,517 × 1,096,517
  4. Step 4: Simplify right side
    731,014x = 1,202,349,531,289
  5. Step 5: Solve for x
    x = 1,202,349,531,289/731,014
  6. Step 6: Final answer
    x = 1,644,769.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.