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Finding the Third Proportional to 2,871,901 and 6,057,518

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Solution

The third proportional to 2,871,901 and 6,057,518 is: 12,776,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,901 : 6,057,518 = 6,057,518 : x
  2. Step 2: Convert to fraction form
    2,871,901/6,057,518 = 6,057,518/x
  3. Step 3: Cross multiply
    2,871,901x = 6,057,518 × 6,057,518
  4. Step 4: Simplify right side
    2,871,901x = 36,693,524,320,324
  5. Step 5: Solve for x
    x = 36,693,524,320,324/2,871,901
  6. Step 6: Final answer
    x = 12,776,737.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.