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Finding the Third Proportional to 898,400 and 1,321,325

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Solution

The third proportional to 898,400 and 1,321,325 is: 1,943,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,400 : 1,321,325 = 1,321,325 : x
  2. Step 2: Convert to fraction form
    898,400/1,321,325 = 1,321,325/x
  3. Step 3: Cross multiply
    898,400x = 1,321,325 × 1,321,325
  4. Step 4: Simplify right side
    898,400x = 1,745,899,755,625
  5. Step 5: Solve for x
    x = 1,745,899,755,625/898,400
  6. Step 6: Final answer
    x = 1,943,343.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.