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Finding the Third Proportional to 1,218,986 and 1,859,419

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Solution

The third proportional to 1,218,986 and 1,859,419 is: 2,836,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,986 : 1,859,419 = 1,859,419 : x
  2. Step 2: Convert to fraction form
    1,218,986/1,859,419 = 1,859,419/x
  3. Step 3: Cross multiply
    1,218,986x = 1,859,419 × 1,859,419
  4. Step 4: Simplify right side
    1,218,986x = 3,457,439,017,561
  5. Step 5: Solve for x
    x = 3,457,439,017,561/1,218,986
  6. Step 6: Final answer
    x = 2,836,323.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.