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Finding the Third Proportional to 435,778.36 and 948,722.72

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Solution

The third proportional to 435,778.36 and 948,722.72 is: 2,065,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,778.36 : 948,722.72 = 948,722.72 : x
  2. Step 2: Convert to fraction form
    435,778.36/948,722.72 = 948,722.72/x
  3. Step 3: Cross multiply
    435,778.36x = 948,722.72 × 948,722.72
  4. Step 4: Simplify right side
    435,778.36x = 900,074,797,072.39
  5. Step 5: Solve for x
    x = 900,074,797,072.39/435,778.36
  6. Step 6: Final answer
    x = 2,065,441.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.