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Finding the Third Proportional to 1,215,202 and 2,659,150

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Solution

The third proportional to 1,215,202 and 2,659,150 is: 5,818,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,202 : 2,659,150 = 2,659,150 : x
  2. Step 2: Convert to fraction form
    1,215,202/2,659,150 = 2,659,150/x
  3. Step 3: Cross multiply
    1,215,202x = 2,659,150 × 2,659,150
  4. Step 4: Simplify right side
    1,215,202x = 7,071,078,722,500
  5. Step 5: Solve for x
    x = 7,071,078,722,500/1,215,202
  6. Step 6: Final answer
    x = 5,818,850.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.