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Finding the Third Proportional to 731,015 and 1,096,518

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Solution

The third proportional to 731,015 and 1,096,518 is: 1,644,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,015 : 1,096,518 = 1,096,518 : x
  2. Step 2: Convert to fraction form
    731,015/1,096,518 = 1,096,518/x
  3. Step 3: Cross multiply
    731,015x = 1,096,518 × 1,096,518
  4. Step 4: Simplify right side
    731,015x = 1,202,351,724,324
  5. Step 5: Solve for x
    x = 1,202,351,724,324/731,015
  6. Step 6: Final answer
    x = 1,644,770.25

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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.