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Finding the Third Proportional to 1,296,205 and 2,840,367

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Solution

The third proportional to 1,296,205 and 2,840,367 is: 6,224,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,205 : 2,840,367 = 2,840,367 : x
  2. Step 2: Convert to fraction form
    1,296,205/2,840,367 = 2,840,367/x
  3. Step 3: Cross multiply
    1,296,205x = 2,840,367 × 2,840,367
  4. Step 4: Simplify right side
    1,296,205x = 8,067,684,694,689
  5. Step 5: Solve for x
    x = 8,067,684,694,689/1,296,205
  6. Step 6: Final answer
    x = 6,224,080.83

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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.