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Finding the Third Proportional to 767,034 and 1,674,036

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Solution

The third proportional to 767,034 and 1,674,036 is: 3,653,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,034 : 1,674,036 = 1,674,036 : x
  2. Step 2: Convert to fraction form
    767,034/1,674,036 = 1,674,036/x
  3. Step 3: Cross multiply
    767,034x = 1,674,036 × 1,674,036
  4. Step 4: Simplify right side
    767,034x = 2,802,396,529,296
  5. Step 5: Solve for x
    x = 2,802,396,529,296/767,034
  6. Step 6: Final answer
    x = 3,653,549.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.