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Finding the Third Proportional to 563,352 and 1,252,644

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Solution

The third proportional to 563,352 and 1,252,644 is: 2,785,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,352 : 1,252,644 = 1,252,644 : x
  2. Step 2: Convert to fraction form
    563,352/1,252,644 = 1,252,644/x
  3. Step 3: Cross multiply
    563,352x = 1,252,644 × 1,252,644
  4. Step 4: Simplify right side
    563,352x = 1,569,116,990,736
  5. Step 5: Solve for x
    x = 1,569,116,990,736/563,352
  6. Step 6: Final answer
    x = 2,785,322.48

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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.