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Finding the Third Proportional to 480,759 and 1,025,863

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Solution

The third proportional to 480,759 and 1,025,863 is: 2,189,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,759 : 1,025,863 = 1,025,863 : x
  2. Step 2: Convert to fraction form
    480,759/1,025,863 = 1,025,863/x
  3. Step 3: Cross multiply
    480,759x = 1,025,863 × 1,025,863
  4. Step 4: Simplify right side
    480,759x = 1,052,394,894,769
  5. Step 5: Solve for x
    x = 1,052,394,894,769/480,759
  6. Step 6: Final answer
    x = 2,189,027.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.