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Finding the Third Proportional to 776,422.13 and 1,660,793.63

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Solution

The third proportional to 776,422.13 and 1,660,793.63 is: 3,552,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,422.13 : 1,660,793.63 = 1,660,793.63 : x
  2. Step 2: Convert to fraction form
    776,422.13/1,660,793.63 = 1,660,793.63/x
  3. Step 3: Cross multiply
    776,422.13x = 1,660,793.63 × 1,660,793.63
  4. Step 4: Simplify right side
    776,422.13x = 2,758,235,464,840.64
  5. Step 5: Solve for x
    x = 2,758,235,464,840.64/776,422.13
  6. Step 6: Final answer
    x = 3,552,494.68

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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.