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Finding the Third Proportional to 444,647.81 and 988,770.38

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Solution

The third proportional to 444,647.81 and 988,770.38 is: 2,198,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,647.81 : 988,770.38 = 988,770.38 : x
  2. Step 2: Convert to fraction form
    444,647.81/988,770.38 = 988,770.38/x
  3. Step 3: Cross multiply
    444,647.81x = 988,770.38 × 988,770.38
  4. Step 4: Simplify right side
    444,647.81x = 977,666,854,477.64
  5. Step 5: Solve for x
    x = 977,666,854,477.64/444,647.81
  6. Step 6: Final answer
    x = 2,198,744.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.