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Finding the Third Proportional to 654,824 and 1,410,408

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Solution

The third proportional to 654,824 and 1,410,408 is: 3,037,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,824 : 1,410,408 = 1,410,408 : x
  2. Step 2: Convert to fraction form
    654,824/1,410,408 = 1,410,408/x
  3. Step 3: Cross multiply
    654,824x = 1,410,408 × 1,410,408
  4. Step 4: Simplify right side
    654,824x = 1,989,250,726,464
  5. Step 5: Solve for x
    x = 1,989,250,726,464/654,824
  6. Step 6: Final answer
    x = 3,037,840.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.