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Finding the Third Proportional to 411,871.50 and 886,945.78

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Solution

The third proportional to 411,871.50 and 886,945.78 is: 1,909,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,871.50 : 886,945.78 = 886,945.78 : x
  2. Step 2: Convert to fraction form
    411,871.50/886,945.78 = 886,945.78/x
  3. Step 3: Cross multiply
    411,871.50x = 886,945.78 × 886,945.78
  4. Step 4: Simplify right side
    411,871.50x = 786,672,818,877.17
  5. Step 5: Solve for x
    x = 786,672,818,877.17/411,871.50
  6. Step 6: Final answer
    x = 1,909,995.76

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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.