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Finding the Third Proportional to 1,278,404 and 2,840,584

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Solution

The third proportional to 1,278,404 and 2,840,584 is: 6,311,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,404 : 2,840,584 = 2,840,584 : x
  2. Step 2: Convert to fraction form
    1,278,404/2,840,584 = 2,840,584/x
  3. Step 3: Cross multiply
    1,278,404x = 2,840,584 × 2,840,584
  4. Step 4: Simplify right side
    1,278,404x = 8,068,917,461,056
  5. Step 5: Solve for x
    x = 8,068,917,461,056/1,278,404
  6. Step 6: Final answer
    x = 6,311,711.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.