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Finding the Third Proportional to 647,514 and 1,373,932.13

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Solution

The third proportional to 647,514 and 1,373,932.13 is: 2,915,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,514 : 1,373,932.13 = 1,373,932.13 : x
  2. Step 2: Convert to fraction form
    647,514/1,373,932.13 = 1,373,932.13/x
  3. Step 3: Cross multiply
    647,514x = 1,373,932.13 × 1,373,932.13
  4. Step 4: Simplify right side
    647,514x = 1,887,689,484,107.02
  5. Step 5: Solve for x
    x = 1,887,689,484,107.02/647,514
  6. Step 6: Final answer
    x = 2,915,287.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.