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Finding the Third Proportional to 1,282,830 and 2,769,048

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Solution

The third proportional to 1,282,830 and 2,769,048 is: 5,977,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,830 : 2,769,048 = 2,769,048 : x
  2. Step 2: Convert to fraction form
    1,282,830/2,769,048 = 2,769,048/x
  3. Step 3: Cross multiply
    1,282,830x = 2,769,048 × 2,769,048
  4. Step 4: Simplify right side
    1,282,830x = 7,667,626,826,304
  5. Step 5: Solve for x
    x = 7,667,626,826,304/1,282,830
  6. Step 6: Final answer
    x = 5,977,118.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.