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Finding the Third Proportional to 532,694 and 1,144,442

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Solution

The third proportional to 532,694 and 1,144,442 is: 2,458,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,694 : 1,144,442 = 1,144,442 : x
  2. Step 2: Convert to fraction form
    532,694/1,144,442 = 1,144,442/x
  3. Step 3: Cross multiply
    532,694x = 1,144,442 × 1,144,442
  4. Step 4: Simplify right side
    532,694x = 1,309,747,491,364
  5. Step 5: Solve for x
    x = 1,309,747,491,364/532,694
  6. Step 6: Final answer
    x = 2,458,723.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.