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Finding the Third Proportional to 1,527,193 and 3,290,419

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Solution

The third proportional to 1,527,193 and 3,290,419 is: 7,089,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,193 : 3,290,419 = 3,290,419 : x
  2. Step 2: Convert to fraction form
    1,527,193/3,290,419 = 3,290,419/x
  3. Step 3: Cross multiply
    1,527,193x = 3,290,419 × 3,290,419
  4. Step 4: Simplify right side
    1,527,193x = 10,826,857,195,561
  5. Step 5: Solve for x
    x = 10,826,857,195,561/1,527,193
  6. Step 6: Final answer
    x = 7,089,383.72

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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.