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Finding the Third Proportional to 1,099,380.94 and 1,681,765.88

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Solution

The third proportional to 1,099,380.94 and 1,681,765.88 is: 2,572,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,380.94 : 1,681,765.88 = 1,681,765.88 : x
  2. Step 2: Convert to fraction form
    1,099,380.94/1,681,765.88 = 1,681,765.88/x
  3. Step 3: Cross multiply
    1,099,380.94x = 1,681,765.88 × 1,681,765.88
  4. Step 4: Simplify right side
    1,099,380.94x = 2,828,336,458,314.52
  5. Step 5: Solve for x
    x = 2,828,336,458,314.52/1,099,380.94
  6. Step 6: Final answer
    x = 2,572,662.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.