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Finding the Third Proportional to 1,277,611 and 1,977,929

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Solution

The third proportional to 1,277,611 and 1,977,929 is: 3,062,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,611 : 1,977,929 = 1,977,929 : x
  2. Step 2: Convert to fraction form
    1,277,611/1,977,929 = 1,977,929/x
  3. Step 3: Cross multiply
    1,277,611x = 1,977,929 × 1,977,929
  4. Step 4: Simplify right side
    1,277,611x = 3,912,203,129,041
  5. Step 5: Solve for x
    x = 3,912,203,129,041/1,277,611
  6. Step 6: Final answer
    x = 3,062,123.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.