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Finding the Third Proportional to 774,391.50 and 1,660,830.75

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Solution

The third proportional to 774,391.50 and 1,660,830.75 is: 3,561,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,391.50 : 1,660,830.75 = 1,660,830.75 : x
  2. Step 2: Convert to fraction form
    774,391.50/1,660,830.75 = 1,660,830.75/x
  3. Step 3: Cross multiply
    774,391.50x = 1,660,830.75 × 1,660,830.75
  4. Step 4: Simplify right side
    774,391.50x = 2,758,358,780,145.56
  5. Step 5: Solve for x
    x = 2,758,358,780,145.56/774,391.50
  6. Step 6: Final answer
    x = 3,561,969.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.