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Finding the Third Proportional to 413,578.13 and 895,861.13

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Solution

The third proportional to 413,578.13 and 895,861.13 is: 1,940,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,578.13 : 895,861.13 = 895,861.13 : x
  2. Step 2: Convert to fraction form
    413,578.13/895,861.13 = 895,861.13/x
  3. Step 3: Cross multiply
    413,578.13x = 895,861.13 × 895,861.13
  4. Step 4: Simplify right side
    413,578.13x = 802,567,155,286.27
  5. Step 5: Solve for x
    x = 802,567,155,286.27/413,578.13
  6. Step 6: Final answer
    x = 1,940,545.47

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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.