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Finding the Third Proportional to 414,542 and 895,252

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Solution

The third proportional to 414,542 and 895,252 is: 1,933,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,542 : 895,252 = 895,252 : x
  2. Step 2: Convert to fraction form
    414,542/895,252 = 895,252/x
  3. Step 3: Cross multiply
    414,542x = 895,252 × 895,252
  4. Step 4: Simplify right side
    414,542x = 801,476,143,504
  5. Step 5: Solve for x
    x = 801,476,143,504/414,542
  6. Step 6: Final answer
    x = 1,933,401.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.