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Finding the Third Proportional to 1,313,742 and 2,843,406

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Solution

The third proportional to 1,313,742 and 2,843,406 is: 6,154,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,742 : 2,843,406 = 2,843,406 : x
  2. Step 2: Convert to fraction form
    1,313,742/2,843,406 = 2,843,406/x
  3. Step 3: Cross multiply
    1,313,742x = 2,843,406 × 2,843,406
  4. Step 4: Simplify right side
    1,313,742x = 8,084,957,680,836
  5. Step 5: Solve for x
    x = 8,084,957,680,836/1,313,742
  6. Step 6: Final answer
    x = 6,154,144.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.