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Finding the Third Proportional to 442,198 and 1,039,432

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Solution

The third proportional to 442,198 and 1,039,432 is: 2,443,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,198 : 1,039,432 = 1,039,432 : x
  2. Step 2: Convert to fraction form
    442,198/1,039,432 = 1,039,432/x
  3. Step 3: Cross multiply
    442,198x = 1,039,432 × 1,039,432
  4. Step 4: Simplify right side
    442,198x = 1,080,418,882,624
  5. Step 5: Solve for x
    x = 1,080,418,882,624/442,198
  6. Step 6: Final answer
    x = 2,443,292.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.