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Finding the Third Proportional to 426,799.13 and 914,135.63

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Solution

The third proportional to 426,799.13 and 914,135.63 is: 1,957,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,799.13 : 914,135.63 = 914,135.63 : x
  2. Step 2: Convert to fraction form
    426,799.13/914,135.63 = 914,135.63/x
  3. Step 3: Cross multiply
    426,799.13x = 914,135.63 × 914,135.63
  4. Step 4: Simplify right side
    426,799.13x = 835,643,940,894.14
  5. Step 5: Solve for x
    x = 835,643,940,894.14/426,799.13
  6. Step 6: Final answer
    x = 1,957,932.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.