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Finding the Third Proportional to 1,784,103 and 2,872,678

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Solution

The third proportional to 1,784,103 and 2,872,678 is: 4,625,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,103 : 2,872,678 = 2,872,678 : x
  2. Step 2: Convert to fraction form
    1,784,103/2,872,678 = 2,872,678/x
  3. Step 3: Cross multiply
    1,784,103x = 2,872,678 × 2,872,678
  4. Step 4: Simplify right side
    1,784,103x = 8,252,278,891,684
  5. Step 5: Solve for x
    x = 8,252,278,891,684/1,784,103
  6. Step 6: Final answer
    x = 4,625,449.82

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.