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Finding the Third Proportional to 802,441.69 and 1,246,511.81

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Solution

The third proportional to 802,441.69 and 1,246,511.81 is: 1,936,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,441.69 : 1,246,511.81 = 1,246,511.81 : x
  2. Step 2: Convert to fraction form
    802,441.69/1,246,511.81 = 1,246,511.81/x
  3. Step 3: Cross multiply
    802,441.69x = 1,246,511.81 × 1,246,511.81
  4. Step 4: Simplify right side
    802,441.69x = 1,553,791,698,702.04
  5. Step 5: Solve for x
    x = 1,553,791,698,702.04/802,441.69
  6. Step 6: Final answer
    x = 1,936,329.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.