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Finding the Third Proportional to 448,903 and 969,025.50

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Solution

The third proportional to 448,903 and 969,025.50 is: 2,091,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,903 : 969,025.50 = 969,025.50 : x
  2. Step 2: Convert to fraction form
    448,903/969,025.50 = 969,025.50/x
  3. Step 3: Cross multiply
    448,903x = 969,025.50 × 969,025.50
  4. Step 4: Simplify right side
    448,903x = 939,010,419,650.25
  5. Step 5: Solve for x
    x = 939,010,419,650.25/448,903
  6. Step 6: Final answer
    x = 2,091,789.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.