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Finding the Third Proportional to 838,910.25 and 1,258,456.75

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Solution

The third proportional to 838,910.25 and 1,258,456.75 is: 1,887,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,910.25 : 1,258,456.75 = 1,258,456.75 : x
  2. Step 2: Convert to fraction form
    838,910.25/1,258,456.75 = 1,258,456.75/x
  3. Step 3: Cross multiply
    838,910.25x = 1,258,456.75 × 1,258,456.75
  4. Step 4: Simplify right side
    838,910.25x = 1,583,713,391,620.56
  5. Step 5: Solve for x
    x = 1,583,713,391,620.56/838,910.25
  6. Step 6: Final answer
    x = 1,887,822.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.