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Finding the Third Proportional to 1,172,646 and 2,569,734

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Solution

The third proportional to 1,172,646 and 2,569,734 is: 5,631,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,646 : 2,569,734 = 2,569,734 : x
  2. Step 2: Convert to fraction form
    1,172,646/2,569,734 = 2,569,734/x
  3. Step 3: Cross multiply
    1,172,646x = 2,569,734 × 2,569,734
  4. Step 4: Simplify right side
    1,172,646x = 6,603,532,830,756
  5. Step 5: Solve for x
    x = 6,603,532,830,756/1,172,646
  6. Step 6: Final answer
    x = 5,631,309.73

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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.