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Finding the Third Proportional to 1,467,759 and 2,976,786

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Solution

The third proportional to 1,467,759 and 2,976,786 is: 6,037,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,759 : 2,976,786 = 2,976,786 : x
  2. Step 2: Convert to fraction form
    1,467,759/2,976,786 = 2,976,786/x
  3. Step 3: Cross multiply
    1,467,759x = 2,976,786 × 2,976,786
  4. Step 4: Simplify right side
    1,467,759x = 8,861,254,889,796
  5. Step 5: Solve for x
    x = 8,861,254,889,796/1,467,759
  6. Step 6: Final answer
    x = 6,037,268.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.