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Finding the Third Proportional to 500,663 and 1,042,762

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Solution

The third proportional to 500,663 and 1,042,762 is: 2,171,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,663 : 1,042,762 = 1,042,762 : x
  2. Step 2: Convert to fraction form
    500,663/1,042,762 = 1,042,762/x
  3. Step 3: Cross multiply
    500,663x = 1,042,762 × 1,042,762
  4. Step 4: Simplify right side
    500,663x = 1,087,352,588,644
  5. Step 5: Solve for x
    x = 1,087,352,588,644/500,663
  6. Step 6: Final answer
    x = 2,171,825.34

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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.