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Finding the Third Proportional to 486,456 and 1,044,840

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Solution

The third proportional to 486,456 and 1,044,840 is: 2,244,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,456 : 1,044,840 = 1,044,840 : x
  2. Step 2: Convert to fraction form
    486,456/1,044,840 = 1,044,840/x
  3. Step 3: Cross multiply
    486,456x = 1,044,840 × 1,044,840
  4. Step 4: Simplify right side
    486,456x = 1,091,690,625,600
  5. Step 5: Solve for x
    x = 1,091,690,625,600/486,456
  6. Step 6: Final answer
    x = 2,244,171.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.