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Finding the Third Proportional to 1,271,610 and 1,782,422

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Solution

The third proportional to 1,271,610 and 1,782,422 is: 2,498,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,610 : 1,782,422 = 1,782,422 : x
  2. Step 2: Convert to fraction form
    1,271,610/1,782,422 = 1,782,422/x
  3. Step 3: Cross multiply
    1,271,610x = 1,782,422 × 1,782,422
  4. Step 4: Simplify right side
    1,271,610x = 3,177,028,186,084
  5. Step 5: Solve for x
    x = 3,177,028,186,084/1,271,610
  6. Step 6: Final answer
    x = 2,498,429.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.