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Finding the Third Proportional to 802,393.50 and 1,246,449.38

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Solution

The third proportional to 802,393.50 and 1,246,449.38 is: 1,936,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,393.50 : 1,246,449.38 = 1,246,449.38 : x
  2. Step 2: Convert to fraction form
    802,393.50/1,246,449.38 = 1,246,449.38/x
  3. Step 3: Cross multiply
    802,393.50x = 1,246,449.38 × 1,246,449.38
  4. Step 4: Simplify right side
    802,393.50x = 1,553,636,044,437.89
  5. Step 5: Solve for x
    x = 1,553,636,044,437.89/802,393.50
  6. Step 6: Final answer
    x = 1,936,252.03

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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.