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Finding the Third Proportional to 1,267,780 and 2,784,392

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Solution

The third proportional to 1,267,780 and 2,784,392 is: 6,115,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,780 : 2,784,392 = 2,784,392 : x
  2. Step 2: Convert to fraction form
    1,267,780/2,784,392 = 2,784,392/x
  3. Step 3: Cross multiply
    1,267,780x = 2,784,392 × 2,784,392
  4. Step 4: Simplify right side
    1,267,780x = 7,752,838,809,664
  5. Step 5: Solve for x
    x = 7,752,838,809,664/1,267,780
  6. Step 6: Final answer
    x = 6,115,287.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.