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Finding the Third Proportional to 702,141.75 and 1,510,933.50

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Solution

The third proportional to 702,141.75 and 1,510,933.50 is: 3,251,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,141.75 : 1,510,933.50 = 1,510,933.50 : x
  2. Step 2: Convert to fraction form
    702,141.75/1,510,933.50 = 1,510,933.50/x
  3. Step 3: Cross multiply
    702,141.75x = 1,510,933.50 × 1,510,933.50
  4. Step 4: Simplify right side
    702,141.75x = 2,282,920,041,422.25
  5. Step 5: Solve for x
    x = 2,282,920,041,422.25/702,141.75
  6. Step 6: Final answer
    x = 3,251,366.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.