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Finding the Third Proportional to 548,092 and 1,195,784

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Solution

The third proportional to 548,092 and 1,195,784 is: 2,608,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,092 : 1,195,784 = 1,195,784 : x
  2. Step 2: Convert to fraction form
    548,092/1,195,784 = 1,195,784/x
  3. Step 3: Cross multiply
    548,092x = 1,195,784 × 1,195,784
  4. Step 4: Simplify right side
    548,092x = 1,429,899,374,656
  5. Step 5: Solve for x
    x = 1,429,899,374,656/548,092
  6. Step 6: Final answer
    x = 2,608,867.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.