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Finding the Third Proportional to 512,569 and 1,123,863

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Solution

The third proportional to 512,569 and 1,123,863 is: 2,464,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,569 : 1,123,863 = 1,123,863 : x
  2. Step 2: Convert to fraction form
    512,569/1,123,863 = 1,123,863/x
  3. Step 3: Cross multiply
    512,569x = 1,123,863 × 1,123,863
  4. Step 4: Simplify right side
    512,569x = 1,263,068,042,769
  5. Step 5: Solve for x
    x = 1,263,068,042,769/512,569
  6. Step 6: Final answer
    x = 2,464,191.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.