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Finding the Third Proportional to 876,428 and 1,324,122

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Solution

The third proportional to 876,428 and 1,324,122 is: 2,000,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,428 : 1,324,122 = 1,324,122 : x
  2. Step 2: Convert to fraction form
    876,428/1,324,122 = 1,324,122/x
  3. Step 3: Cross multiply
    876,428x = 1,324,122 × 1,324,122
  4. Step 4: Simplify right side
    876,428x = 1,753,299,070,884
  5. Step 5: Solve for x
    x = 1,753,299,070,884/876,428
  6. Step 6: Final answer
    x = 2,000,505.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.