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Finding the Third Proportional to 931,974 and 1,396,521

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Solution

The third proportional to 931,974 and 1,396,521 is: 2,092,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,974 : 1,396,521 = 1,396,521 : x
  2. Step 2: Convert to fraction form
    931,974/1,396,521 = 1,396,521/x
  3. Step 3: Cross multiply
    931,974x = 1,396,521 × 1,396,521
  4. Step 4: Simplify right side
    931,974x = 1,950,270,903,441
  5. Step 5: Solve for x
    x = 1,950,270,903,441/931,974
  6. Step 6: Final answer
    x = 2,092,623.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.