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Finding the Third Proportional to 644,648 and 1,403,992

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Solution

The third proportional to 644,648 and 1,403,992 is: 3,057,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,648 : 1,403,992 = 1,403,992 : x
  2. Step 2: Convert to fraction form
    644,648/1,403,992 = 1,403,992/x
  3. Step 3: Cross multiply
    644,648x = 1,403,992 × 1,403,992
  4. Step 4: Simplify right side
    644,648x = 1,971,193,536,064
  5. Step 5: Solve for x
    x = 1,971,193,536,064/644,648
  6. Step 6: Final answer
    x = 3,057,782.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.