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Finding the Third Proportional to 1,197,821 and 2,570,890

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Solution

The third proportional to 1,197,821 and 2,570,890 is: 5,517,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,821 : 2,570,890 = 2,570,890 : x
  2. Step 2: Convert to fraction form
    1,197,821/2,570,890 = 2,570,890/x
  3. Step 3: Cross multiply
    1,197,821x = 2,570,890 × 2,570,890
  4. Step 4: Simplify right side
    1,197,821x = 6,609,475,392,100
  5. Step 5: Solve for x
    x = 6,609,475,392,100/1,197,821
  6. Step 6: Final answer
    x = 5,517,915.78

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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.