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Finding the Third Proportional to 537,976 and 1,165,016

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Solution

The third proportional to 537,976 and 1,165,016 is: 2,522,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,976 : 1,165,016 = 1,165,016 : x
  2. Step 2: Convert to fraction form
    537,976/1,165,016 = 1,165,016/x
  3. Step 3: Cross multiply
    537,976x = 1,165,016 × 1,165,016
  4. Step 4: Simplify right side
    537,976x = 1,357,262,280,256
  5. Step 5: Solve for x
    x = 1,357,262,280,256/537,976
  6. Step 6: Final answer
    x = 2,522,904.89

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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.