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Finding the Third Proportional to 1,391,016 and 2,931,477

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Solution

The third proportional to 1,391,016 and 2,931,477 is: 6,177,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,016 : 2,931,477 = 2,931,477 : x
  2. Step 2: Convert to fraction form
    1,391,016/2,931,477 = 2,931,477/x
  3. Step 3: Cross multiply
    1,391,016x = 2,931,477 × 2,931,477
  4. Step 4: Simplify right side
    1,391,016x = 8,593,557,401,529
  5. Step 5: Solve for x
    x = 8,593,557,401,529/1,391,016
  6. Step 6: Final answer
    x = 6,177,899.75

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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.