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Finding the Third Proportional to 427,734 and 937,116

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Solution

The third proportional to 427,734 and 937,116 is: 2,053,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,734 : 937,116 = 937,116 : x
  2. Step 2: Convert to fraction form
    427,734/937,116 = 937,116/x
  3. Step 3: Cross multiply
    427,734x = 937,116 × 937,116
  4. Step 4: Simplify right side
    427,734x = 878,186,397,456
  5. Step 5: Solve for x
    x = 878,186,397,456/427,734
  6. Step 6: Final answer
    x = 2,053,113.38

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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.