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Finding the Third Proportional to 454,187 and 955,422

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Solution

The third proportional to 454,187 and 955,422 is: 2,009,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,187 : 955,422 = 955,422 : x
  2. Step 2: Convert to fraction form
    454,187/955,422 = 955,422/x
  3. Step 3: Cross multiply
    454,187x = 955,422 × 955,422
  4. Step 4: Simplify right side
    454,187x = 912,831,198,084
  5. Step 5: Solve for x
    x = 912,831,198,084/454,187
  6. Step 6: Final answer
    x = 2,009,813.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.