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Finding the Third Proportional to 929,796.54 and 1,408,729.01

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Solution

The third proportional to 929,796.54 and 1,408,729.01 is: 2,134,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,796.54 : 1,408,729.01 = 1,408,729.01 : x
  2. Step 2: Convert to fraction form
    929,796.54/1,408,729.01 = 1,408,729.01/x
  3. Step 3: Cross multiply
    929,796.54x = 1,408,729.01 × 1,408,729.01
  4. Step 4: Simplify right side
    929,796.54x = 1,984,517,417,452.39
  5. Step 5: Solve for x
    x = 1,984,517,417,452.39/929,796.54
  6. Step 6: Final answer
    x = 2,134,356.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.