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Finding the Third Proportional to 563,464 and 1,252,912

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Solution

The third proportional to 563,464 and 1,252,912 is: 2,785,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,464 : 1,252,912 = 1,252,912 : x
  2. Step 2: Convert to fraction form
    563,464/1,252,912 = 1,252,912/x
  3. Step 3: Cross multiply
    563,464x = 1,252,912 × 1,252,912
  4. Step 4: Simplify right side
    563,464x = 1,569,788,479,744
  5. Step 5: Solve for x
    x = 1,569,788,479,744/563,464
  6. Step 6: Final answer
    x = 2,785,960.56

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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.