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Finding the Third Proportional to 898,189.31 and 1,356,609.09

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Solution

The third proportional to 898,189.31 and 1,356,609.09 is: 2,048,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,189.31 : 1,356,609.09 = 1,356,609.09 : x
  2. Step 2: Convert to fraction form
    898,189.31/1,356,609.09 = 1,356,609.09/x
  3. Step 3: Cross multiply
    898,189.31x = 1,356,609.09 × 1,356,609.09
  4. Step 4: Simplify right side
    898,189.31x = 1,840,388,233,245.20
  5. Step 5: Solve for x
    x = 1,840,388,233,245.20/898,189.31
  6. Step 6: Final answer
    x = 2,048,998.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.