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Finding the Third Proportional to 564,849 and 1,244,280

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Solution

The third proportional to 564,849 and 1,244,280 is: 2,740,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,849 : 1,244,280 = 1,244,280 : x
  2. Step 2: Convert to fraction form
    564,849/1,244,280 = 1,244,280/x
  3. Step 3: Cross multiply
    564,849x = 1,244,280 × 1,244,280
  4. Step 4: Simplify right side
    564,849x = 1,548,232,718,400
  5. Step 5: Solve for x
    x = 1,548,232,718,400/564,849
  6. Step 6: Final answer
    x = 2,740,967.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.