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Finding the Third Proportional to 3,554,520.47 and 5,205,249.84

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Solution

The third proportional to 3,554,520.47 and 5,205,249.84 is: 7,622,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554,520.47 : 5,205,249.84 = 5,205,249.84 : x
  2. Step 2: Convert to fraction form
    3,554,520.47/5,205,249.84 = 5,205,249.84/x
  3. Step 3: Cross multiply
    3,554,520.47x = 5,205,249.84 × 5,205,249.84
  4. Step 4: Simplify right side
    3,554,520.47x = 27,094,625,935,859.40
  5. Step 5: Solve for x
    x = 27,094,625,935,859.40/3,554,520.47
  6. Step 6: Final answer
    x = 7,622,582.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.