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Finding the Third Proportional to 717,170 and 1,560,514

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Solution

The third proportional to 717,170 and 1,560,514 is: 3,395,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,170 : 1,560,514 = 1,560,514 : x
  2. Step 2: Convert to fraction form
    717,170/1,560,514 = 1,560,514/x
  3. Step 3: Cross multiply
    717,170x = 1,560,514 × 1,560,514
  4. Step 4: Simplify right side
    717,170x = 2,435,203,944,196
  5. Step 5: Solve for x
    x = 2,435,203,944,196/717,170
  6. Step 6: Final answer
    x = 3,395,574.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.