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Finding the Third Proportional to 401,928.38 and 884,818.13

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Solution

The third proportional to 401,928.38 and 884,818.13 is: 1,947,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,928.38 : 884,818.13 = 884,818.13 : x
  2. Step 2: Convert to fraction form
    401,928.38/884,818.13 = 884,818.13/x
  3. Step 3: Cross multiply
    401,928.38x = 884,818.13 × 884,818.13
  4. Step 4: Simplify right side
    401,928.38x = 782,903,114,328.52
  5. Step 5: Solve for x
    x = 782,903,114,328.52/401,928.38
  6. Step 6: Final answer
    x = 1,947,867.24

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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.