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Finding the Third Proportional to 1,871,864.44 and 3,832,439.06

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Solution

The third proportional to 1,871,864.44 and 3,832,439.06 is: 7,846,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,864.44 : 3,832,439.06 = 3,832,439.06 : x
  2. Step 2: Convert to fraction form
    1,871,864.44/3,832,439.06 = 3,832,439.06/x
  3. Step 3: Cross multiply
    1,871,864.44x = 3,832,439.06 × 3,832,439.06
  4. Step 4: Simplify right side
    1,871,864.44x = 14,687,589,167,775.88
  5. Step 5: Solve for x
    x = 14,687,589,167,775.88/1,871,864.44
  6. Step 6: Final answer
    x = 7,846,502.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.