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Finding the Third Proportional to 714,441.94 and 1,541,057.06

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Solution

The third proportional to 714,441.94 and 1,541,057.06 is: 3,324,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,441.94 : 1,541,057.06 = 1,541,057.06 : x
  2. Step 2: Convert to fraction form
    714,441.94/1,541,057.06 = 1,541,057.06/x
  3. Step 3: Cross multiply
    714,441.94x = 1,541,057.06 × 1,541,057.06
  4. Step 4: Simplify right side
    714,441.94x = 2,374,856,869,881.13
  5. Step 5: Solve for x
    x = 2,374,856,869,881.13/714,441.94
  6. Step 6: Final answer
    x = 3,324,072.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.