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Finding the Third Proportional to 1,650,200 and 2,625,658

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Solution

The third proportional to 1,650,200 and 2,625,658 is: 4,177,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,200 : 2,625,658 = 2,625,658 : x
  2. Step 2: Convert to fraction form
    1,650,200/2,625,658 = 2,625,658/x
  3. Step 3: Cross multiply
    1,650,200x = 2,625,658 × 2,625,658
  4. Step 4: Simplify right side
    1,650,200x = 6,894,079,932,964
  5. Step 5: Solve for x
    x = 6,894,079,932,964/1,650,200
  6. Step 6: Final answer
    x = 4,177,723.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.