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Finding the Third Proportional to 1,398,562.88 and 1,974,060.75

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Solution

The third proportional to 1,398,562.88 and 1,974,060.75 is: 2,786,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,562.88 : 1,974,060.75 = 1,974,060.75 : x
  2. Step 2: Convert to fraction form
    1,398,562.88/1,974,060.75 = 1,974,060.75/x
  3. Step 3: Cross multiply
    1,398,562.88x = 1,974,060.75 × 1,974,060.75
  4. Step 4: Simplify right side
    1,398,562.88x = 3,896,915,844,690.56
  5. Step 5: Solve for x
    x = 3,896,915,844,690.56/1,398,562.88
  6. Step 6: Final answer
    x = 2,786,371.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.