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Finding the Third Proportional to 984,822.05 and 1,477,233.07

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Solution

The third proportional to 984,822.05 and 1,477,233.07 is: 2,215,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,822.05 : 1,477,233.07 = 1,477,233.07 : x
  2. Step 2: Convert to fraction form
    984,822.05/1,477,233.07 = 1,477,233.07/x
  3. Step 3: Cross multiply
    984,822.05x = 1,477,233.07 × 1,477,233.07
  4. Step 4: Simplify right side
    984,822.05x = 2,182,217,544,024.90
  5. Step 5: Solve for x
    x = 2,182,217,544,024.90/984,822.05
  6. Step 6: Final answer
    x = 2,215,849.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.