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Finding the Third Proportional to 1,275,104.25 and 1,974,417.75

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Solution

The third proportional to 1,275,104.25 and 1,974,417.75 is: 3,057,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,104.25 : 1,974,417.75 = 1,974,417.75 : x
  2. Step 2: Convert to fraction form
    1,275,104.25/1,974,417.75 = 1,974,417.75/x
  3. Step 3: Cross multiply
    1,275,104.25x = 1,974,417.75 × 1,974,417.75
  4. Step 4: Simplify right side
    1,275,104.25x = 3,898,325,451,515.06
  5. Step 5: Solve for x
    x = 3,898,325,451,515.06/1,275,104.25
  6. Step 6: Final answer
    x = 3,057,260.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.