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Finding the Third Proportional to 2,164,344 and 3,364,404

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Solution

The third proportional to 2,164,344 and 3,364,404 is: 5,229,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,344 : 3,364,404 = 3,364,404 : x
  2. Step 2: Convert to fraction form
    2,164,344/3,364,404 = 3,364,404/x
  3. Step 3: Cross multiply
    2,164,344x = 3,364,404 × 3,364,404
  4. Step 4: Simplify right side
    2,164,344x = 11,319,214,275,216
  5. Step 5: Solve for x
    x = 11,319,214,275,216/2,164,344
  6. Step 6: Final answer
    x = 5,229,859.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.