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Finding the Third Proportional to 668,277 and 1,577,016

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Solution

The third proportional to 668,277 and 1,577,016 is: 3,721,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,277 : 1,577,016 = 1,577,016 : x
  2. Step 2: Convert to fraction form
    668,277/1,577,016 = 1,577,016/x
  3. Step 3: Cross multiply
    668,277x = 1,577,016 × 1,577,016
  4. Step 4: Simplify right side
    668,277x = 2,486,979,464,256
  5. Step 5: Solve for x
    x = 2,486,979,464,256/668,277
  6. Step 6: Final answer
    x = 3,721,479.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.