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Finding the Third Proportional to 644,142 and 1,399,274

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Solution

The third proportional to 644,142 and 1,399,274 is: 3,039,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,142 : 1,399,274 = 1,399,274 : x
  2. Step 2: Convert to fraction form
    644,142/1,399,274 = 1,399,274/x
  3. Step 3: Cross multiply
    644,142x = 1,399,274 × 1,399,274
  4. Step 4: Simplify right side
    644,142x = 1,957,967,727,076
  5. Step 5: Solve for x
    x = 1,957,967,727,076/644,142
  6. Step 6: Final answer
    x = 3,039,652.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.