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Finding the Third Proportional to 821,628 and 1,226,934

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Solution

The third proportional to 821,628 and 1,226,934 is: 1,832,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,628 : 1,226,934 = 1,226,934 : x
  2. Step 2: Convert to fraction form
    821,628/1,226,934 = 1,226,934/x
  3. Step 3: Cross multiply
    821,628x = 1,226,934 × 1,226,934
  4. Step 4: Simplify right side
    821,628x = 1,505,367,040,356
  5. Step 5: Solve for x
    x = 1,505,367,040,356/821,628
  6. Step 6: Final answer
    x = 1,832,175.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.