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Finding the Third Proportional to 1,281,768 and 2,729,208

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Solution

The third proportional to 1,281,768 and 2,729,208 is: 5,811,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,768 : 2,729,208 = 2,729,208 : x
  2. Step 2: Convert to fraction form
    1,281,768/2,729,208 = 2,729,208/x
  3. Step 3: Cross multiply
    1,281,768x = 2,729,208 × 2,729,208
  4. Step 4: Simplify right side
    1,281,768x = 7,448,576,307,264
  5. Step 5: Solve for x
    x = 7,448,576,307,264/1,281,768
  6. Step 6: Final answer
    x = 5,811,173.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.