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Finding the Third Proportional to 782,509.50 and 1,668,357

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Solution

The third proportional to 782,509.50 and 1,668,357 is: 3,557,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,509.50 : 1,668,357 = 1,668,357 : x
  2. Step 2: Convert to fraction form
    782,509.50/1,668,357 = 1,668,357/x
  3. Step 3: Cross multiply
    782,509.50x = 1,668,357 × 1,668,357
  4. Step 4: Simplify right side
    782,509.50x = 2,783,415,079,449
  5. Step 5: Solve for x
    x = 2,783,415,079,449/782,509.50
  6. Step 6: Final answer
    x = 3,557,036.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.