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Finding the Third Proportional to 677,277 and 1,447,866

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Solution

The third proportional to 677,277 and 1,447,866 is: 3,095,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,277 : 1,447,866 = 1,447,866 : x
  2. Step 2: Convert to fraction form
    677,277/1,447,866 = 1,447,866/x
  3. Step 3: Cross multiply
    677,277x = 1,447,866 × 1,447,866
  4. Step 4: Simplify right side
    677,277x = 2,096,315,953,956
  5. Step 5: Solve for x
    x = 2,096,315,953,956/677,277
  6. Step 6: Final answer
    x = 3,095,212.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.