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Finding the Third Proportional to 3,657,709.50 and 5,433,612

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Solution

The third proportional to 3,657,709.50 and 5,433,612 is: 8,071,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657,709.50 : 5,433,612 = 5,433,612 : x
  2. Step 2: Convert to fraction form
    3,657,709.50/5,433,612 = 5,433,612/x
  3. Step 3: Cross multiply
    3,657,709.50x = 5,433,612 × 5,433,612
  4. Step 4: Simplify right side
    3,657,709.50x = 29,524,139,366,544
  5. Step 5: Solve for x
    x = 29,524,139,366,544/3,657,709.50
  6. Step 6: Final answer
    x = 8,071,756.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.