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Finding the Third Proportional to 1,181,858 and 2,849,399

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Solution

The third proportional to 1,181,858 and 2,849,399 is: 6,869,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,858 : 2,849,399 = 2,849,399 : x
  2. Step 2: Convert to fraction form
    1,181,858/2,849,399 = 2,849,399/x
  3. Step 3: Cross multiply
    1,181,858x = 2,849,399 × 2,849,399
  4. Step 4: Simplify right side
    1,181,858x = 8,119,074,661,201
  5. Step 5: Solve for x
    x = 8,119,074,661,201/1,181,858
  6. Step 6: Final answer
    x = 6,869,754.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.