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Finding the Third Proportional to 650,648 and 1,384,240

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Solution

The third proportional to 650,648 and 1,384,240 is: 2,944,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,648 : 1,384,240 = 1,384,240 : x
  2. Step 2: Convert to fraction form
    650,648/1,384,240 = 1,384,240/x
  3. Step 3: Cross multiply
    650,648x = 1,384,240 × 1,384,240
  4. Step 4: Simplify right side
    650,648x = 1,916,120,377,600
  5. Step 5: Solve for x
    x = 1,916,120,377,600/650,648
  6. Step 6: Final answer
    x = 2,944,941.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.