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Finding the Third Proportional to 413,539.17 and 895,780.27

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Solution

The third proportional to 413,539.17 and 895,780.27 is: 1,940,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,539.17 : 895,780.27 = 895,780.27 : x
  2. Step 2: Convert to fraction form
    413,539.17/895,780.27 = 895,780.27/x
  3. Step 3: Cross multiply
    413,539.17x = 895,780.27 × 895,780.27
  4. Step 4: Simplify right side
    413,539.17x = 802,422,284,283.20
  5. Step 5: Solve for x
    x = 802,422,284,283.20/413,539.17
  6. Step 6: Final answer
    x = 1,940,377.93

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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.