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Finding the Third Proportional to 448,902 and 969,023.25

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Solution

The third proportional to 448,902 and 969,023.25 is: 2,091,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,902 : 969,023.25 = 969,023.25 : x
  2. Step 2: Convert to fraction form
    448,902/969,023.25 = 969,023.25/x
  3. Step 3: Cross multiply
    448,902x = 969,023.25 × 969,023.25
  4. Step 4: Simplify right side
    448,902x = 939,006,059,040.56
  5. Step 5: Solve for x
    x = 939,006,059,040.56/448,902
  6. Step 6: Final answer
    x = 2,091,784.08

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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.