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Finding the Third Proportional to 1,535,816.25 and 2,067,520.50

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Solution

The third proportional to 1,535,816.25 and 2,067,520.50 is: 2,783,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,816.25 : 2,067,520.50 = 2,067,520.50 : x
  2. Step 2: Convert to fraction form
    1,535,816.25/2,067,520.50 = 2,067,520.50/x
  3. Step 3: Cross multiply
    1,535,816.25x = 2,067,520.50 × 2,067,520.50
  4. Step 4: Simplify right side
    1,535,816.25x = 4,274,641,017,920.25
  5. Step 5: Solve for x
    x = 4,274,641,017,920.25/1,535,816.25
  6. Step 6: Final answer
    x = 2,783,302.38

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.