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Finding the Third Proportional to 396,870.47 and 870,820.03

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Solution

The third proportional to 396,870.47 and 870,820.03 is: 1,910,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,870.47 : 870,820.03 = 870,820.03 : x
  2. Step 2: Convert to fraction form
    396,870.47/870,820.03 = 870,820.03/x
  3. Step 3: Cross multiply
    396,870.47x = 870,820.03 × 870,820.03
  4. Step 4: Simplify right side
    396,870.47x = 758,327,526,826.25
  5. Step 5: Solve for x
    x = 758,327,526,826.25/396,870.47
  6. Step 6: Final answer
    x = 1,910,768.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.