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Finding the Third Proportional to 777,174.75 and 1,680,751.69

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Solution

The third proportional to 777,174.75 and 1,680,751.69 is: 3,634,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,174.75 : 1,680,751.69 = 1,680,751.69 : x
  2. Step 2: Convert to fraction form
    777,174.75/1,680,751.69 = 1,680,751.69/x
  3. Step 3: Cross multiply
    777,174.75x = 1,680,751.69 × 1,680,751.69
  4. Step 4: Simplify right side
    777,174.75x = 2,824,926,235,034.10
  5. Step 5: Solve for x
    x = 2,824,926,235,034.10/777,174.75
  6. Step 6: Final answer
    x = 3,634,866.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.