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Finding the Third Proportional to 1,035,727.50 and 2,215,374

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Solution

The third proportional to 1,035,727.50 and 2,215,374 is: 4,738,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,727.50 : 2,215,374 = 2,215,374 : x
  2. Step 2: Convert to fraction form
    1,035,727.50/2,215,374 = 2,215,374/x
  3. Step 3: Cross multiply
    1,035,727.50x = 2,215,374 × 2,215,374
  4. Step 4: Simplify right side
    1,035,727.50x = 4,907,881,959,876
  5. Step 5: Solve for x
    x = 4,907,881,959,876/1,035,727.50
  6. Step 6: Final answer
    x = 4,738,584.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.