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Finding the Third Proportional to 826,868.25 and 1,207,497.38

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Solution

The third proportional to 826,868.25 and 1,207,497.38 is: 1,763,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,868.25 : 1,207,497.38 = 1,207,497.38 : x
  2. Step 2: Convert to fraction form
    826,868.25/1,207,497.38 = 1,207,497.38/x
  3. Step 3: Cross multiply
    826,868.25x = 1,207,497.38 × 1,207,497.38
  4. Step 4: Simplify right side
    826,868.25x = 1,458,049,910,631.89
  5. Step 5: Solve for x
    x = 1,458,049,910,631.89/826,868.25
  6. Step 6: Final answer
    x = 1,763,340.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.