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Finding the Third Proportional to 652,015.75 and 1,400,441.75

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Solution

The third proportional to 652,015.75 and 1,400,441.75 is: 3,007,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,015.75 : 1,400,441.75 = 1,400,441.75 : x
  2. Step 2: Convert to fraction form
    652,015.75/1,400,441.75 = 1,400,441.75/x
  3. Step 3: Cross multiply
    652,015.75x = 1,400,441.75 × 1,400,441.75
  4. Step 4: Simplify right side
    652,015.75x = 1,961,237,095,143.06
  5. Step 5: Solve for x
    x = 1,961,237,095,143.06/652,015.75
  6. Step 6: Final answer
    x = 3,007,959.69

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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.