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Finding the Third Proportional to 714,444.05 and 1,541,062.97

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Solution

The third proportional to 714,444.05 and 1,541,062.97 is: 3,324,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,444.05 : 1,541,062.97 = 1,541,062.97 : x
  2. Step 2: Convert to fraction form
    714,444.05/1,541,062.97 = 1,541,062.97/x
  3. Step 3: Cross multiply
    714,444.05x = 1,541,062.97 × 1,541,062.97
  4. Step 4: Simplify right side
    714,444.05x = 2,374,875,073,652.56
  5. Step 5: Solve for x
    x = 2,374,875,073,652.56/714,444.05
  6. Step 6: Final answer
    x = 3,324,088.27

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Why These Related Problems?

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