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Finding the Third Proportional to 563,343 and 1,252,622

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Solution

The third proportional to 563,343 and 1,252,622 is: 2,785,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,343 : 1,252,622 = 1,252,622 : x
  2. Step 2: Convert to fraction form
    563,343/1,252,622 = 1,252,622/x
  3. Step 3: Cross multiply
    563,343x = 1,252,622 × 1,252,622
  4. Step 4: Simplify right side
    563,343x = 1,569,061,874,884
  5. Step 5: Solve for x
    x = 1,569,061,874,884/563,343
  6. Step 6: Final answer
    x = 2,785,269.14

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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.