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Finding the Third Proportional to 2,373,505 and 3,677,535

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Solution

The third proportional to 2,373,505 and 3,677,535 is: 5,698,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373,505 : 3,677,535 = 3,677,535 : x
  2. Step 2: Convert to fraction form
    2,373,505/3,677,535 = 3,677,535/x
  3. Step 3: Cross multiply
    2,373,505x = 3,677,535 × 3,677,535
  4. Step 4: Simplify right side
    2,373,505x = 13,524,263,676,225
  5. Step 5: Solve for x
    x = 13,524,263,676,225/2,373,505
  6. Step 6: Final answer
    x = 5,698,013.56

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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.