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Finding the Third Proportional to 1,454,742 and 3,161,292

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Solution

The third proportional to 1,454,742 and 3,161,292 is: 6,869,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,742 : 3,161,292 = 3,161,292 : x
  2. Step 2: Convert to fraction form
    1,454,742/3,161,292 = 3,161,292/x
  3. Step 3: Cross multiply
    1,454,742x = 3,161,292 × 3,161,292
  4. Step 4: Simplify right side
    1,454,742x = 9,993,767,109,264
  5. Step 5: Solve for x
    x = 9,993,767,109,264/1,454,742
  6. Step 6: Final answer
    x = 6,869,786.61

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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.