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Finding the Third Proportional to 644,922 and 967,275

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Solution

The third proportional to 644,922 and 967,275 is: 1,450,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,922 : 967,275 = 967,275 : x
  2. Step 2: Convert to fraction form
    644,922/967,275 = 967,275/x
  3. Step 3: Cross multiply
    644,922x = 967,275 × 967,275
  4. Step 4: Simplify right side
    644,922x = 935,620,925,625
  5. Step 5: Solve for x
    x = 935,620,925,625/644,922
  6. Step 6: Final answer
    x = 1,450,750.52

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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.