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Finding the Third Proportional to 1,809,461.25 and 2,756,643.75

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Solution

The third proportional to 1,809,461.25 and 2,756,643.75 is: 4,199,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,461.25 : 2,756,643.75 = 2,756,643.75 : x
  2. Step 2: Convert to fraction form
    1,809,461.25/2,756,643.75 = 2,756,643.75/x
  3. Step 3: Cross multiply
    1,809,461.25x = 2,756,643.75 × 2,756,643.75
  4. Step 4: Simplify right side
    1,809,461.25x = 7,599,084,764,414.06
  5. Step 5: Solve for x
    x = 7,599,084,764,414.06/1,809,461.25
  6. Step 6: Final answer
    x = 4,199,639.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.