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Finding the Third Proportional to 561,783.75 and 1,228,668.75

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Solution

The third proportional to 561,783.75 and 1,228,668.75 is: 2,687,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,783.75 : 1,228,668.75 = 1,228,668.75 : x
  2. Step 2: Convert to fraction form
    561,783.75/1,228,668.75 = 1,228,668.75/x
  3. Step 3: Cross multiply
    561,783.75x = 1,228,668.75 × 1,228,668.75
  4. Step 4: Simplify right side
    561,783.75x = 1,509,626,897,226.56
  5. Step 5: Solve for x
    x = 1,509,626,897,226.56/561,783.75
  6. Step 6: Final answer
    x = 2,687,202.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.