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Finding the Third Proportional to 947,535.75 and 2,054,676

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Solution

The third proportional to 947,535.75 and 2,054,676 is: 4,455,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,535.75 : 2,054,676 = 2,054,676 : x
  2. Step 2: Convert to fraction form
    947,535.75/2,054,676 = 2,054,676/x
  3. Step 3: Cross multiply
    947,535.75x = 2,054,676 × 2,054,676
  4. Step 4: Simplify right side
    947,535.75x = 4,221,693,464,976
  5. Step 5: Solve for x
    x = 4,221,693,464,976/947,535.75
  6. Step 6: Final answer
    x = 4,455,445.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.