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Finding the Third Proportional to 644,274 and 946,687.50

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Solution

The third proportional to 644,274 and 946,687.50 is: 1,391,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,274 : 946,687.50 = 946,687.50 : x
  2. Step 2: Convert to fraction form
    644,274/946,687.50 = 946,687.50/x
  3. Step 3: Cross multiply
    644,274x = 946,687.50 × 946,687.50
  4. Step 4: Simplify right side
    644,274x = 896,217,222,656.25
  5. Step 5: Solve for x
    x = 896,217,222,656.25/644,274
  6. Step 6: Final answer
    x = 1,391,049.81

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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.