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Finding the Third Proportional to 1,419,065 and 2,143,340

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Solution

The third proportional to 1,419,065 and 2,143,340 is: 3,237,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,065 : 2,143,340 = 2,143,340 : x
  2. Step 2: Convert to fraction form
    1,419,065/2,143,340 = 2,143,340/x
  3. Step 3: Cross multiply
    1,419,065x = 2,143,340 × 2,143,340
  4. Step 4: Simplify right side
    1,419,065x = 4,593,906,355,600
  5. Step 5: Solve for x
    x = 4,593,906,355,600/1,419,065
  6. Step 6: Final answer
    x = 3,237,276.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.