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Finding the Third Proportional to 685,616.06 and 1,476,591.19

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Solution

The third proportional to 685,616.06 and 1,476,591.19 is: 3,180,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,616.06 : 1,476,591.19 = 1,476,591.19 : x
  2. Step 2: Convert to fraction form
    685,616.06/1,476,591.19 = 1,476,591.19/x
  3. Step 3: Cross multiply
    685,616.06x = 1,476,591.19 × 1,476,591.19
  4. Step 4: Simplify right side
    685,616.06x = 2,180,321,535,002.66
  5. Step 5: Solve for x
    x = 2,180,321,535,002.66/685,616.06
  6. Step 6: Final answer
    x = 3,180,091.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.