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Finding the Third Proportional to 448,898.84 and 985,027.08

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Solution

The third proportional to 448,898.84 and 985,027.08 is: 2,161,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,898.84 : 985,027.08 = 985,027.08 : x
  2. Step 2: Convert to fraction form
    448,898.84/985,027.08 = 985,027.08/x
  3. Step 3: Cross multiply
    448,898.84x = 985,027.08 × 985,027.08
  4. Step 4: Simplify right side
    448,898.84x = 970,278,344,639.48
  5. Step 5: Solve for x
    x = 970,278,344,639.48/448,898.84
  6. Step 6: Final answer
    x = 2,161,463.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.