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Finding the Third Proportional to 532,404 and 1,154,638

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Solution

The third proportional to 532,404 and 1,154,638 is: 2,504,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,404 : 1,154,638 = 1,154,638 : x
  2. Step 2: Convert to fraction form
    532,404/1,154,638 = 1,154,638/x
  3. Step 3: Cross multiply
    532,404x = 1,154,638 × 1,154,638
  4. Step 4: Simplify right side
    532,404x = 1,333,188,911,044
  5. Step 5: Solve for x
    x = 1,333,188,911,044/532,404
  6. Step 6: Final answer
    x = 2,504,092.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.