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Finding the Third Proportional to 1,871,616.38 and 3,831,737.91

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Solution

The third proportional to 1,871,616.38 and 3,831,737.91 is: 7,844,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,616.38 : 3,831,737.91 = 3,831,737.91 : x
  2. Step 2: Convert to fraction form
    1,871,616.38/3,831,737.91 = 3,831,737.91/x
  3. Step 3: Cross multiply
    1,871,616.38x = 3,831,737.91 × 3,831,737.91
  4. Step 4: Simplify right side
    1,871,616.38x = 14,682,215,382,193.13
  5. Step 5: Solve for x
    x = 14,682,215,382,193.13/1,871,616.38
  6. Step 6: Final answer
    x = 7,844,671.36

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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.