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Finding the Third Proportional to 412,291.13 and 886,911.75

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Solution

The third proportional to 412,291.13 and 886,911.75 is: 1,907,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,291.13 : 886,911.75 = 886,911.75 : x
  2. Step 2: Convert to fraction form
    412,291.13/886,911.75 = 886,911.75/x
  3. Step 3: Cross multiply
    412,291.13x = 886,911.75 × 886,911.75
  4. Step 4: Simplify right side
    412,291.13x = 786,612,452,288.06
  5. Step 5: Solve for x
    x = 786,612,452,288.06/412,291.13
  6. Step 6: Final answer
    x = 1,907,905.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.