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Finding the Third Proportional to 729,714 and 1,567,314

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Solution

The third proportional to 729,714 and 1,567,314 is: 3,366,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,714 : 1,567,314 = 1,567,314 : x
  2. Step 2: Convert to fraction form
    729,714/1,567,314 = 1,567,314/x
  3. Step 3: Cross multiply
    729,714x = 1,567,314 × 1,567,314
  4. Step 4: Simplify right side
    729,714x = 2,456,473,174,596
  5. Step 5: Solve for x
    x = 2,456,473,174,596/729,714
  6. Step 6: Final answer
    x = 3,366,350.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.