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Finding the Third Proportional to 427,374 and 914,040

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Solution

The third proportional to 427,374 and 914,040 is: 1,954,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,374 : 914,040 = 914,040 : x
  2. Step 2: Convert to fraction form
    427,374/914,040 = 914,040/x
  3. Step 3: Cross multiply
    427,374x = 914,040 × 914,040
  4. Step 4: Simplify right side
    427,374x = 835,469,121,600
  5. Step 5: Solve for x
    x = 835,469,121,600/427,374
  6. Step 6: Final answer
    x = 1,954,889.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.