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Finding the Third Proportional to 773,204 and 1,156,206

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Solution

The third proportional to 773,204 and 1,156,206 is: 1,728,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,204 : 1,156,206 = 1,156,206 : x
  2. Step 2: Convert to fraction form
    773,204/1,156,206 = 1,156,206/x
  3. Step 3: Cross multiply
    773,204x = 1,156,206 × 1,156,206
  4. Step 4: Simplify right side
    773,204x = 1,336,812,314,436
  5. Step 5: Solve for x
    x = 1,336,812,314,436/773,204
  6. Step 6: Final answer
    x = 1,728,925.76

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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.