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Finding the Third Proportional to 1,262,100 and 2,769,144

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Solution

The third proportional to 1,262,100 and 2,769,144 is: 6,075,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,100 : 2,769,144 = 2,769,144 : x
  2. Step 2: Convert to fraction form
    1,262,100/2,769,144 = 2,769,144/x
  3. Step 3: Cross multiply
    1,262,100x = 2,769,144 × 2,769,144
  4. Step 4: Simplify right side
    1,262,100x = 7,668,158,492,736
  5. Step 5: Solve for x
    x = 7,668,158,492,736/1,262,100
  6. Step 6: Final answer
    x = 6,075,713.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.