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Finding the Third Proportional to 412,291 and 895,082

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Solution

The third proportional to 412,291 and 895,082 is: 1,943,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,291 : 895,082 = 895,082 : x
  2. Step 2: Convert to fraction form
    412,291/895,082 = 895,082/x
  3. Step 3: Cross multiply
    412,291x = 895,082 × 895,082
  4. Step 4: Simplify right side
    412,291x = 801,171,786,724
  5. Step 5: Solve for x
    x = 801,171,786,724/412,291
  6. Step 6: Final answer
    x = 1,943,219.20

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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.