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Finding the Third Proportional to 412,280.88 and 895,062.13

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Solution

The third proportional to 412,280.88 and 895,062.13 is: 1,943,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,280.88 : 895,062.13 = 895,062.13 : x
  2. Step 2: Convert to fraction form
    412,280.88/895,062.13 = 895,062.13/x
  3. Step 3: Cross multiply
    412,280.88x = 895,062.13 × 895,062.13
  4. Step 4: Simplify right side
    412,280.88x = 801,136,207,609.52
  5. Step 5: Solve for x
    x = 801,136,207,609.52/412,280.88
  6. Step 6: Final answer
    x = 1,943,180.62

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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.