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Finding the Third Proportional to 563,874 and 1,221,242

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Solution

The third proportional to 563,874 and 1,221,242 is: 2,644,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,874 : 1,221,242 = 1,221,242 : x
  2. Step 2: Convert to fraction form
    563,874/1,221,242 = 1,221,242/x
  3. Step 3: Cross multiply
    563,874x = 1,221,242 × 1,221,242
  4. Step 4: Simplify right side
    563,874x = 1,491,432,022,564
  5. Step 5: Solve for x
    x = 1,491,432,022,564/563,874
  6. Step 6: Final answer
    x = 2,644,973.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.