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Finding the Third Proportional to 532,682 and 1,154,068

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Solution

The third proportional to 532,682 and 1,154,068 is: 2,500,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,682 : 1,154,068 = 1,154,068 : x
  2. Step 2: Convert to fraction form
    532,682/1,154,068 = 1,154,068/x
  3. Step 3: Cross multiply
    532,682x = 1,154,068 × 1,154,068
  4. Step 4: Simplify right side
    532,682x = 1,331,872,948,624
  5. Step 5: Solve for x
    x = 1,331,872,948,624/532,682
  6. Step 6: Final answer
    x = 2,500,315.29

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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.