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Finding the Third Proportional to 731,024 and 1,096,536

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Solution

The third proportional to 731,024 and 1,096,536 is: 1,644,804

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,024 : 1,096,536 = 1,096,536 : x
  2. Step 2: Convert to fraction form
    731,024/1,096,536 = 1,096,536/x
  3. Step 3: Cross multiply
    731,024x = 1,096,536 × 1,096,536
  4. Step 4: Simplify right side
    731,024x = 1,202,391,199,296
  5. Step 5: Solve for x
    x = 1,202,391,199,296/731,024
  6. Step 6: Final answer
    x = 1,644,804

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