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Finding the Third Proportional to 1,367,630.58 and 2,976,074.16

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Solution

The third proportional to 1,367,630.58 and 2,976,074.16 is: 6,476,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,630.58 : 2,976,074.16 = 2,976,074.16 : x
  2. Step 2: Convert to fraction form
    1,367,630.58/2,976,074.16 = 2,976,074.16/x
  3. Step 3: Cross multiply
    1,367,630.58x = 2,976,074.16 × 2,976,074.16
  4. Step 4: Simplify right side
    1,367,630.58x = 8,857,017,383,499.15
  5. Step 5: Solve for x
    x = 8,857,017,383,499.15/1,367,630.58
  6. Step 6: Final answer
    x = 6,476,176.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.