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Finding the Third Proportional to 681,079.64 and 1,445,179.85

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Solution

The third proportional to 681,079.64 and 1,445,179.85 is: 3,066,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,079.64 : 1,445,179.85 = 1,445,179.85 : x
  2. Step 2: Convert to fraction form
    681,079.64/1,445,179.85 = 1,445,179.85/x
  3. Step 3: Cross multiply
    681,079.64x = 1,445,179.85 × 1,445,179.85
  4. Step 4: Simplify right side
    681,079.64x = 2,088,544,803,362.21
  5. Step 5: Solve for x
    x = 2,088,544,803,362.21/681,079.64
  6. Step 6: Final answer
    x = 3,066,520.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.