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Finding the Third Proportional to 819,515.25 and 1,240,701.75

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Solution

The third proportional to 819,515.25 and 1,240,701.75 is: 1,878,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,515.25 : 1,240,701.75 = 1,240,701.75 : x
  2. Step 2: Convert to fraction form
    819,515.25/1,240,701.75 = 1,240,701.75/x
  3. Step 3: Cross multiply
    819,515.25x = 1,240,701.75 × 1,240,701.75
  4. Step 4: Simplify right side
    819,515.25x = 1,539,340,832,453.06
  5. Step 5: Solve for x
    x = 1,539,340,832,453.06/819,515.25
  6. Step 6: Final answer
    x = 1,878,355.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.