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Finding the Third Proportional to 1,110,966.75 and 1,659,157.88

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Solution

The third proportional to 1,110,966.75 and 1,659,157.88 is: 2,477,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,966.75 : 1,659,157.88 = 1,659,157.88 : x
  2. Step 2: Convert to fraction form
    1,110,966.75/1,659,157.88 = 1,659,157.88/x
  3. Step 3: Cross multiply
    1,110,966.75x = 1,659,157.88 × 1,659,157.88
  4. Step 4: Simplify right side
    1,110,966.75x = 2,752,804,854,174.52
  5. Step 5: Solve for x
    x = 2,752,804,854,174.52/1,110,966.75
  6. Step 6: Final answer
    x = 2,477,846.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.