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Finding the Third Proportional to 447,027 and 969,742.50

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Solution

The third proportional to 447,027 and 969,742.50 is: 2,103,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,027 : 969,742.50 = 969,742.50 : x
  2. Step 2: Convert to fraction form
    447,027/969,742.50 = 969,742.50/x
  3. Step 3: Cross multiply
    447,027x = 969,742.50 × 969,742.50
  4. Step 4: Simplify right side
    447,027x = 940,400,516,306.25
  5. Step 5: Solve for x
    x = 940,400,516,306.25/447,027
  6. Step 6: Final answer
    x = 2,103,677.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.