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Finding the Third Proportional to 2,823,703 and 4,241,991

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Solution

The third proportional to 2,823,703 and 4,241,991 is: 6,372,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823,703 : 4,241,991 = 4,241,991 : x
  2. Step 2: Convert to fraction form
    2,823,703/4,241,991 = 4,241,991/x
  3. Step 3: Cross multiply
    2,823,703x = 4,241,991 × 4,241,991
  4. Step 4: Simplify right side
    2,823,703x = 17,994,487,644,081
  5. Step 5: Solve for x
    x = 17,994,487,644,081/2,823,703
  6. Step 6: Final answer
    x = 6,372,655.92

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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.