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Finding the Third Proportional to 563,508 and 1,222,542

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Solution

The third proportional to 563,508 and 1,222,542 is: 2,652,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,508 : 1,222,542 = 1,222,542 : x
  2. Step 2: Convert to fraction form
    563,508/1,222,542 = 1,222,542/x
  3. Step 3: Cross multiply
    563,508x = 1,222,542 × 1,222,542
  4. Step 4: Simplify right side
    563,508x = 1,494,608,941,764
  5. Step 5: Solve for x
    x = 1,494,608,941,764/563,508
  6. Step 6: Final answer
    x = 2,652,329.59

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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.