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Finding the Third Proportional to 458,082.42 and 987,165.14

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Solution

The third proportional to 458,082.42 and 987,165.14 is: 2,127,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,082.42 : 987,165.14 = 987,165.14 : x
  2. Step 2: Convert to fraction form
    458,082.42/987,165.14 = 987,165.14/x
  3. Step 3: Cross multiply
    458,082.42x = 987,165.14 × 987,165.14
  4. Step 4: Simplify right side
    458,082.42x = 974,495,014,865.18
  5. Step 5: Solve for x
    x = 974,495,014,865.18/458,082.42
  6. Step 6: Final answer
    x = 2,127,335.54

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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.