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Finding the Third Proportional to 2,657,928.75 and 5,796,963.25

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Solution

The third proportional to 2,657,928.75 and 5,796,963.25 is: 12,643,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,928.75 : 5,796,963.25 = 5,796,963.25 : x
  2. Step 2: Convert to fraction form
    2,657,928.75/5,796,963.25 = 5,796,963.25/x
  3. Step 3: Cross multiply
    2,657,928.75x = 5,796,963.25 × 5,796,963.25
  4. Step 4: Simplify right side
    2,657,928.75x = 33,604,782,921,850.56
  5. Step 5: Solve for x
    x = 33,604,782,921,850.56/2,657,928.75
  6. Step 6: Final answer
    x = 12,643,221.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.