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Finding the Third Proportional to 1,031,647.50 and 2,241,171

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Solution

The third proportional to 1,031,647.50 and 2,241,171 is: 4,868,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,647.50 : 2,241,171 = 2,241,171 : x
  2. Step 2: Convert to fraction form
    1,031,647.50/2,241,171 = 2,241,171/x
  3. Step 3: Cross multiply
    1,031,647.50x = 2,241,171 × 2,241,171
  4. Step 4: Simplify right side
    1,031,647.50x = 5,022,847,451,241
  5. Step 5: Solve for x
    x = 5,022,847,451,241/1,031,647.50
  6. Step 6: Final answer
    x = 4,868,763.27

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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.