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Finding the Third Proportional to 1,238,536 and 1,914,164

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Solution

The third proportional to 1,238,536 and 1,914,164 is: 2,958,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,536 : 1,914,164 = 1,914,164 : x
  2. Step 2: Convert to fraction form
    1,238,536/1,914,164 = 1,914,164/x
  3. Step 3: Cross multiply
    1,238,536x = 1,914,164 × 1,914,164
  4. Step 4: Simplify right side
    1,238,536x = 3,664,023,818,896
  5. Step 5: Solve for x
    x = 3,664,023,818,896/1,238,536
  6. Step 6: Final answer
    x = 2,958,350.68

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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.