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Finding the Third Proportional to 2,041,231 and 4,394,473

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Solution

The third proportional to 2,041,231 and 4,394,473 is: 9,460,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,231 : 4,394,473 = 4,394,473 : x
  2. Step 2: Convert to fraction form
    2,041,231/4,394,473 = 4,394,473/x
  3. Step 3: Cross multiply
    2,041,231x = 4,394,473 × 4,394,473
  4. Step 4: Simplify right side
    2,041,231x = 19,311,392,947,729
  5. Step 5: Solve for x
    x = 19,311,392,947,729/2,041,231
  6. Step 6: Final answer
    x = 9,460,660.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.