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Finding the Third Proportional to 500,616 and 1,042,650

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Solution

The third proportional to 500,616 and 1,042,650 is: 2,171,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,616 : 1,042,650 = 1,042,650 : x
  2. Step 2: Convert to fraction form
    500,616/1,042,650 = 1,042,650/x
  3. Step 3: Cross multiply
    500,616x = 1,042,650 × 1,042,650
  4. Step 4: Simplify right side
    500,616x = 1,087,119,022,500
  5. Step 5: Solve for x
    x = 1,087,119,022,500/500,616
  6. Step 6: Final answer
    x = 2,171,562.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.