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Finding the Third Proportional to 563,463 and 1,252,908

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Solution

The third proportional to 563,463 and 1,252,908 is: 2,785,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,463 : 1,252,908 = 1,252,908 : x
  2. Step 2: Convert to fraction form
    563,463/1,252,908 = 1,252,908/x
  3. Step 3: Cross multiply
    563,463x = 1,252,908 × 1,252,908
  4. Step 4: Simplify right side
    563,463x = 1,569,778,456,464
  5. Step 5: Solve for x
    x = 1,569,778,456,464/563,463
  6. Step 6: Final answer
    x = 2,785,947.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.