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Finding the Third Proportional to 444,052.13 and 976,677.75

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Solution

The third proportional to 444,052.13 and 976,677.75 is: 2,148,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,052.13 : 976,677.75 = 976,677.75 : x
  2. Step 2: Convert to fraction form
    444,052.13/976,677.75 = 976,677.75/x
  3. Step 3: Cross multiply
    444,052.13x = 976,677.75 × 976,677.75
  4. Step 4: Simplify right side
    444,052.13x = 953,899,427,345.06
  5. Step 5: Solve for x
    x = 953,899,427,345.06/444,052.13
  6. Step 6: Final answer
    x = 2,148,169.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.