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Finding the Third Proportional to 2,871,890 and 6,057,496

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Solution

The third proportional to 2,871,890 and 6,057,496 is: 12,776,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,890 : 6,057,496 = 6,057,496 : x
  2. Step 2: Convert to fraction form
    2,871,890/6,057,496 = 6,057,496/x
  3. Step 3: Cross multiply
    2,871,890x = 6,057,496 × 6,057,496
  4. Step 4: Simplify right side
    2,871,890x = 36,693,257,790,016
  5. Step 5: Solve for x
    x = 36,693,257,790,016/2,871,890
  6. Step 6: Final answer
    x = 12,776,693.32

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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.