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Finding the Third Proportional to 1,162,022 and 1,760,421

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Solution

The third proportional to 1,162,022 and 1,760,421 is: 2,666,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,022 : 1,760,421 = 1,760,421 : x
  2. Step 2: Convert to fraction form
    1,162,022/1,760,421 = 1,760,421/x
  3. Step 3: Cross multiply
    1,162,022x = 1,760,421 × 1,760,421
  4. Step 4: Simplify right side
    1,162,022x = 3,099,082,097,241
  5. Step 5: Solve for x
    x = 3,099,082,097,241/1,162,022
  6. Step 6: Final answer
    x = 2,666,973.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.