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Finding the Third Proportional to 813,933 and 1,196,538

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Solution

The third proportional to 813,933 and 1,196,538 is: 1,758,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,933 : 1,196,538 = 1,196,538 : x
  2. Step 2: Convert to fraction form
    813,933/1,196,538 = 1,196,538/x
  3. Step 3: Cross multiply
    813,933x = 1,196,538 × 1,196,538
  4. Step 4: Simplify right side
    813,933x = 1,431,703,185,444
  5. Step 5: Solve for x
    x = 1,431,703,185,444/813,933
  6. Step 6: Final answer
    x = 1,758,993.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.