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Finding the Third Proportional to 1,454,747 and 3,161,302

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Solution

The third proportional to 1,454,747 and 3,161,302 is: 6,869,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,747 : 3,161,302 = 3,161,302 : x
  2. Step 2: Convert to fraction form
    1,454,747/3,161,302 = 3,161,302/x
  3. Step 3: Cross multiply
    1,454,747x = 3,161,302 × 3,161,302
  4. Step 4: Simplify right side
    1,454,747x = 9,993,830,335,204
  5. Step 5: Solve for x
    x = 9,993,830,335,204/1,454,747
  6. Step 6: Final answer
    x = 6,869,806.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.