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Finding the Third Proportional to 843,933 and 1,205,961

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Solution

The third proportional to 843,933 and 1,205,961 is: 1,723,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,933 : 1,205,961 = 1,205,961 : x
  2. Step 2: Convert to fraction form
    843,933/1,205,961 = 1,205,961/x
  3. Step 3: Cross multiply
    843,933x = 1,205,961 × 1,205,961
  4. Step 4: Simplify right side
    843,933x = 1,454,341,933,521
  5. Step 5: Solve for x
    x = 1,454,341,933,521/843,933
  6. Step 6: Final answer
    x = 1,723,290.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.