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Finding the Third Proportional to 4,022,234 and 5,626,321

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Solution

The third proportional to 4,022,234 and 5,626,321 is: 7,870,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022,234 : 5,626,321 = 5,626,321 : x
  2. Step 2: Convert to fraction form
    4,022,234/5,626,321 = 5,626,321/x
  3. Step 3: Cross multiply
    4,022,234x = 5,626,321 × 5,626,321
  4. Step 4: Simplify right side
    4,022,234x = 31,655,487,995,041
  5. Step 5: Solve for x
    x = 31,655,487,995,041/4,022,234
  6. Step 6: Final answer
    x = 7,870,125.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.