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Finding the Third Proportional to 407,647.69 and 895,951.13

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Solution

The third proportional to 407,647.69 and 895,951.13 is: 1,969,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,647.69 : 895,951.13 = 895,951.13 : x
  2. Step 2: Convert to fraction form
    407,647.69/895,951.13 = 895,951.13/x
  3. Step 3: Cross multiply
    407,647.69x = 895,951.13 × 895,951.13
  4. Step 4: Simplify right side
    407,647.69x = 802,728,418,388.77
  5. Step 5: Solve for x
    x = 802,728,418,388.77/407,647.69
  6. Step 6: Final answer
    x = 1,969,172.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.