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Finding the Third Proportional to 1,276,782 and 1,930,401

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Solution

The third proportional to 1,276,782 and 1,930,401 is: 2,918,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,782 : 1,930,401 = 1,930,401 : x
  2. Step 2: Convert to fraction form
    1,276,782/1,930,401 = 1,930,401/x
  3. Step 3: Cross multiply
    1,276,782x = 1,930,401 × 1,930,401
  4. Step 4: Simplify right side
    1,276,782x = 3,726,448,020,801
  5. Step 5: Solve for x
    x = 3,726,448,020,801/1,276,782
  6. Step 6: Final answer
    x = 2,918,625.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.