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Finding the Third Proportional to 1,784,764 and 3,479,856

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Solution

The third proportional to 1,784,764 and 3,479,856 is: 6,784,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,764 : 3,479,856 = 3,479,856 : x
  2. Step 2: Convert to fraction form
    1,784,764/3,479,856 = 3,479,856/x
  3. Step 3: Cross multiply
    1,784,764x = 3,479,856 × 3,479,856
  4. Step 4: Simplify right side
    1,784,764x = 12,109,397,780,736
  5. Step 5: Solve for x
    x = 12,109,397,780,736/1,784,764
  6. Step 6: Final answer
    x = 6,784,873.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.