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Finding the Third Proportional to 491,168.81 and 1,073,647.41

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Solution

The third proportional to 491,168.81 and 1,073,647.41 is: 2,346,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,168.81 : 1,073,647.41 = 1,073,647.41 : x
  2. Step 2: Convert to fraction form
    491,168.81/1,073,647.41 = 1,073,647.41/x
  3. Step 3: Cross multiply
    491,168.81x = 1,073,647.41 × 1,073,647.41
  4. Step 4: Simplify right side
    491,168.81x = 1,152,718,752,947.35
  5. Step 5: Solve for x
    x = 1,152,718,752,947.35/491,168.81
  6. Step 6: Final answer
    x = 2,346,889.14

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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.