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Finding the Third Proportional to 766,891.13 and 1,660,712.63

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Solution

The third proportional to 766,891.13 and 1,660,712.63 is: 3,596,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,891.13 : 1,660,712.63 = 1,660,712.63 : x
  2. Step 2: Convert to fraction form
    766,891.13/1,660,712.63 = 1,660,712.63/x
  3. Step 3: Cross multiply
    766,891.13x = 1,660,712.63 × 1,660,712.63
  4. Step 4: Simplify right side
    766,891.13x = 2,757,966,422,834.39
  5. Step 5: Solve for x
    x = 2,757,966,422,834.39/766,891.13
  6. Step 6: Final answer
    x = 3,596,294.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.