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Finding the Third Proportional to 2,827,874 and 5,983,284

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Solution

The third proportional to 2,827,874 and 5,983,284 is: 12,659,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827,874 : 5,983,284 = 5,983,284 : x
  2. Step 2: Convert to fraction form
    2,827,874/5,983,284 = 5,983,284/x
  3. Step 3: Cross multiply
    2,827,874x = 5,983,284 × 5,983,284
  4. Step 4: Simplify right side
    2,827,874x = 35,799,687,424,656
  5. Step 5: Solve for x
    x = 35,799,687,424,656/2,827,874
  6. Step 6: Final answer
    x = 12,659,576.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.