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Finding the Third Proportional to 665,102.25 and 1,454,427

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Solution

The third proportional to 665,102.25 and 1,454,427 is: 3,180,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,102.25 : 1,454,427 = 1,454,427 : x
  2. Step 2: Convert to fraction form
    665,102.25/1,454,427 = 1,454,427/x
  3. Step 3: Cross multiply
    665,102.25x = 1,454,427 × 1,454,427
  4. Step 4: Simplify right side
    665,102.25x = 2,115,357,898,329
  5. Step 5: Solve for x
    x = 2,115,357,898,329/665,102.25
  6. Step 6: Final answer
    x = 3,180,500.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.