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Finding the Third Proportional to 754,409 and 1,025,179

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Solution

The third proportional to 754,409 and 1,025,179 is: 1,393,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,409 : 1,025,179 = 1,025,179 : x
  2. Step 2: Convert to fraction form
    754,409/1,025,179 = 1,025,179/x
  3. Step 3: Cross multiply
    754,409x = 1,025,179 × 1,025,179
  4. Step 4: Simplify right side
    754,409x = 1,050,991,982,041
  5. Step 5: Solve for x
    x = 1,050,991,982,041/754,409
  6. Step 6: Final answer
    x = 1,393,132.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.