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Finding the Third Proportional to 1,288,006 and 2,797,250

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Solution

The third proportional to 1,288,006 and 2,797,250 is: 6,074,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,006 : 2,797,250 = 2,797,250 : x
  2. Step 2: Convert to fraction form
    1,288,006/2,797,250 = 2,797,250/x
  3. Step 3: Cross multiply
    1,288,006x = 2,797,250 × 2,797,250
  4. Step 4: Simplify right side
    1,288,006x = 7,824,607,562,500
  5. Step 5: Solve for x
    x = 7,824,607,562,500/1,288,006
  6. Step 6: Final answer
    x = 6,074,977.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.