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Finding the Third Proportional to 2,979,720 and 4,612,914

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Solution

The third proportional to 2,979,720 and 4,612,914 is: 7,141,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979,720 : 4,612,914 = 4,612,914 : x
  2. Step 2: Convert to fraction form
    2,979,720/4,612,914 = 4,612,914/x
  3. Step 3: Cross multiply
    2,979,720x = 4,612,914 × 4,612,914
  4. Step 4: Simplify right side
    2,979,720x = 21,278,975,571,396
  5. Step 5: Solve for x
    x = 21,278,975,571,396/2,979,720
  6. Step 6: Final answer
    x = 7,141,266.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.