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Finding the Third Proportional to 1,309,824 and 2,894,940

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Solution

The third proportional to 1,309,824 and 2,894,940 is: 6,398,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,824 : 2,894,940 = 2,894,940 : x
  2. Step 2: Convert to fraction form
    1,309,824/2,894,940 = 2,894,940/x
  3. Step 3: Cross multiply
    1,309,824x = 2,894,940 × 2,894,940
  4. Step 4: Simplify right side
    1,309,824x = 8,380,677,603,600
  5. Step 5: Solve for x
    x = 8,380,677,603,600/1,309,824
  6. Step 6: Final answer
    x = 6,398,323.44

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.