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Finding the Third Proportional to 644,936 and 1,499,096

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Solution

The third proportional to 644,936 and 1,499,096 is: 3,484,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,936 : 1,499,096 = 1,499,096 : x
  2. Step 2: Convert to fraction form
    644,936/1,499,096 = 1,499,096/x
  3. Step 3: Cross multiply
    644,936x = 1,499,096 × 1,499,096
  4. Step 4: Simplify right side
    644,936x = 2,247,288,817,216
  5. Step 5: Solve for x
    x = 2,247,288,817,216/644,936
  6. Step 6: Final answer
    x = 3,484,514.46

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.