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Finding the Third Proportional to 431,121 and 935,596

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Solution

The third proportional to 431,121 and 935,596 is: 2,030,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,121 : 935,596 = 935,596 : x
  2. Step 2: Convert to fraction form
    431,121/935,596 = 935,596/x
  3. Step 3: Cross multiply
    431,121x = 935,596 × 935,596
  4. Step 4: Simplify right side
    431,121x = 875,339,875,216
  5. Step 5: Solve for x
    x = 875,339,875,216/431,121
  6. Step 6: Final answer
    x = 2,030,380.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.