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Finding the Third Proportional to 644,464 and 1,399,648

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Solution

The third proportional to 644,464 and 1,399,648 is: 3,039,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,464 : 1,399,648 = 1,399,648 : x
  2. Step 2: Convert to fraction form
    644,464/1,399,648 = 1,399,648/x
  3. Step 3: Cross multiply
    644,464x = 1,399,648 × 1,399,648
  4. Step 4: Simplify right side
    644,464x = 1,959,014,523,904
  5. Step 5: Solve for x
    x = 1,959,014,523,904/644,464
  6. Step 6: Final answer
    x = 3,039,757.88

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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.