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Finding the Third Proportional to 427,737 and 937,122

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Solution

The third proportional to 427,737 and 937,122 is: 2,053,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,737 : 937,122 = 937,122 : x
  2. Step 2: Convert to fraction form
    427,737/937,122 = 937,122/x
  3. Step 3: Cross multiply
    427,737x = 937,122 × 937,122
  4. Step 4: Simplify right side
    427,737x = 878,197,642,884
  5. Step 5: Solve for x
    x = 878,197,642,884/427,737
  6. Step 6: Final answer
    x = 2,053,125.27

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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.