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Finding the Third Proportional to 728,149 and 1,596,267

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Solution

The third proportional to 728,149 and 1,596,267 is: 3,499,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,149 : 1,596,267 = 1,596,267 : x
  2. Step 2: Convert to fraction form
    728,149/1,596,267 = 1,596,267/x
  3. Step 3: Cross multiply
    728,149x = 1,596,267 × 1,596,267
  4. Step 4: Simplify right side
    728,149x = 2,548,068,335,289
  5. Step 5: Solve for x
    x = 2,548,068,335,289/728,149
  6. Step 6: Final answer
    x = 3,499,377.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.