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Finding the Third Proportional to 465,994,291 and 723,544,977

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Solution

The third proportional to 465,994,291 and 723,544,977 is: 1,123,441,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,994,291 : 723,544,977 = 723,544,977 : x
  2. Step 2: Convert to fraction form
    465,994,291/723,544,977 = 723,544,977/x
  3. Step 3: Cross multiply
    465,994,291x = 723,544,977 × 723,544,977
  4. Step 4: Simplify right side
    465,994,291x = 523,517,333,741,930,560
  5. Step 5: Solve for x
    x = 523,517,333,741,930,560/465,994,291
  6. Step 6: Final answer
    x = 1,123,441,518.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.