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Finding the Third Proportional to 2,706,957 and 6,019,143

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Solution

The third proportional to 2,706,957 and 6,019,143 is: 13,384,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,957 : 6,019,143 = 6,019,143 : x
  2. Step 2: Convert to fraction form
    2,706,957/6,019,143 = 6,019,143/x
  3. Step 3: Cross multiply
    2,706,957x = 6,019,143 × 6,019,143
  4. Step 4: Simplify right side
    2,706,957x = 36,230,082,454,449
  5. Step 5: Solve for x
    x = 36,230,082,454,449/2,706,957
  6. Step 6: Final answer
    x = 13,384,062.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.