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Finding the Third Proportional to 861,974 and 1,364,223

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Solution

The third proportional to 861,974 and 1,364,223 is: 2,159,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,974 : 1,364,223 = 1,364,223 : x
  2. Step 2: Convert to fraction form
    861,974/1,364,223 = 1,364,223/x
  3. Step 3: Cross multiply
    861,974x = 1,364,223 × 1,364,223
  4. Step 4: Simplify right side
    861,974x = 1,861,104,393,729
  5. Step 5: Solve for x
    x = 1,861,104,393,729/861,974
  6. Step 6: Final answer
    x = 2,159,118.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.