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Finding the Third Proportional to 1,419,410 and 3,113,620

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Solution

The third proportional to 1,419,410 and 3,113,620 is: 6,830,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,410 : 3,113,620 = 3,113,620 : x
  2. Step 2: Convert to fraction form
    1,419,410/3,113,620 = 3,113,620/x
  3. Step 3: Cross multiply
    1,419,410x = 3,113,620 × 3,113,620
  4. Step 4: Simplify right side
    1,419,410x = 9,694,629,504,400
  5. Step 5: Solve for x
    x = 9,694,629,504,400/1,419,410
  6. Step 6: Final answer
    x = 6,830,041.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.