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Finding the Third Proportional to 2,129,190 and 3,193,001

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Solution

The third proportional to 2,129,190 and 3,193,001 is: 4,788,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,190 : 3,193,001 = 3,193,001 : x
  2. Step 2: Convert to fraction form
    2,129,190/3,193,001 = 3,193,001/x
  3. Step 3: Cross multiply
    2,129,190x = 3,193,001 × 3,193,001
  4. Step 4: Simplify right side
    2,129,190x = 10,195,255,386,001
  5. Step 5: Solve for x
    x = 10,195,255,386,001/2,129,190
  6. Step 6: Final answer
    x = 4,788,325.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.