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Finding the Third Proportional to 1,121,736 and 1,740,219

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Solution

The third proportional to 1,121,736 and 1,740,219 is: 2,699,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,736 : 1,740,219 = 1,740,219 : x
  2. Step 2: Convert to fraction form
    1,121,736/1,740,219 = 1,740,219/x
  3. Step 3: Cross multiply
    1,121,736x = 1,740,219 × 1,740,219
  4. Step 4: Simplify right side
    1,121,736x = 3,028,362,167,961
  5. Step 5: Solve for x
    x = 3,028,362,167,961/1,121,736
  6. Step 6: Final answer
    x = 2,699,710.24

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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.