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Finding the Third Proportional to 2,178,660 and 3,194,742

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Solution

The third proportional to 2,178,660 and 3,194,742 is: 4,684,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,660 : 3,194,742 = 3,194,742 : x
  2. Step 2: Convert to fraction form
    2,178,660/3,194,742 = 3,194,742/x
  3. Step 3: Cross multiply
    2,178,660x = 3,194,742 × 3,194,742
  4. Step 4: Simplify right side
    2,178,660x = 10,206,376,446,564
  5. Step 5: Solve for x
    x = 10,206,376,446,564/2,178,660
  6. Step 6: Final answer
    x = 4,684,703.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.