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Finding the Third Proportional to 512,565 and 1,125,567

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Solution

The third proportional to 512,565 and 1,125,567 is: 2,471,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,565 : 1,125,567 = 1,125,567 : x
  2. Step 2: Convert to fraction form
    512,565/1,125,567 = 1,125,567/x
  3. Step 3: Cross multiply
    512,565x = 1,125,567 × 1,125,567
  4. Step 4: Simplify right side
    512,565x = 1,266,901,071,489
  5. Step 5: Solve for x
    x = 1,266,901,071,489/512,565
  6. Step 6: Final answer
    x = 2,471,688.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.