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Finding the Third Proportional to 998,798.34 and 2,165,665.36

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Solution

The third proportional to 998,798.34 and 2,165,665.36 is: 4,695,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,798.34 : 2,165,665.36 = 2,165,665.36 : x
  2. Step 2: Convert to fraction form
    998,798.34/2,165,665.36 = 2,165,665.36/x
  3. Step 3: Cross multiply
    998,798.34x = 2,165,665.36 × 2,165,665.36
  4. Step 4: Simplify right side
    998,798.34x = 4,690,106,448,796.85
  5. Step 5: Solve for x
    x = 4,690,106,448,796.85/998,798.34
  6. Step 6: Final answer
    x = 4,695,749.13

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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.