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Finding the Third Proportional to 731,006 and 1,096,509

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Solution

The third proportional to 731,006 and 1,096,509 is: 1,644,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,006 : 1,096,509 = 1,096,509 : x
  2. Step 2: Convert to fraction form
    731,006/1,096,509 = 1,096,509/x
  3. Step 3: Cross multiply
    731,006x = 1,096,509 × 1,096,509
  4. Step 4: Simplify right side
    731,006x = 1,202,331,987,081
  5. Step 5: Solve for x
    x = 1,202,331,987,081/731,006
  6. Step 6: Final answer
    x = 1,644,763.50

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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.