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Finding the Third Proportional to 563,464 and 1,252,909

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Solution

The third proportional to 563,464 and 1,252,909 is: 2,785,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,464 : 1,252,909 = 1,252,909 : x
  2. Step 2: Convert to fraction form
    563,464/1,252,909 = 1,252,909/x
  3. Step 3: Cross multiply
    563,464x = 1,252,909 × 1,252,909
  4. Step 4: Simplify right side
    563,464x = 1,569,780,962,281
  5. Step 5: Solve for x
    x = 1,569,780,962,281/563,464
  6. Step 6: Final answer
    x = 2,785,947.22

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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.