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Finding the Third Proportional to 721,596 and 1,566,159

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Solution

The third proportional to 721,596 and 1,566,159 is: 3,399,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,596 : 1,566,159 = 1,566,159 : x
  2. Step 2: Convert to fraction form
    721,596/1,566,159 = 1,566,159/x
  3. Step 3: Cross multiply
    721,596x = 1,566,159 × 1,566,159
  4. Step 4: Simplify right side
    721,596x = 2,452,854,013,281
  5. Step 5: Solve for x
    x = 2,452,854,013,281/721,596
  6. Step 6: Final answer
    x = 3,399,206.78

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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.