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Finding the Third Proportional to 1,238,674 and 1,810,214

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Solution

The third proportional to 1,238,674 and 1,810,214 is: 2,645,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,674 : 1,810,214 = 1,810,214 : x
  2. Step 2: Convert to fraction form
    1,238,674/1,810,214 = 1,810,214/x
  3. Step 3: Cross multiply
    1,238,674x = 1,810,214 × 1,810,214
  4. Step 4: Simplify right side
    1,238,674x = 3,276,874,725,796
  5. Step 5: Solve for x
    x = 3,276,874,725,796/1,238,674
  6. Step 6: Final answer
    x = 2,645,469.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.