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Finding the Third Proportional to 644,140 and 1,399,270

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Solution

The third proportional to 644,140 and 1,399,270 is: 3,039,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,140 : 1,399,270 = 1,399,270 : x
  2. Step 2: Convert to fraction form
    644,140/1,399,270 = 1,399,270/x
  3. Step 3: Cross multiply
    644,140x = 1,399,270 × 1,399,270
  4. Step 4: Simplify right side
    644,140x = 1,957,956,532,900
  5. Step 5: Solve for x
    x = 1,957,956,532,900/644,140
  6. Step 6: Final answer
    x = 3,039,644.38

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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.