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Finding the Third Proportional to 2,609,575.50 and 5,623,299

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Solution

The third proportional to 2,609,575.50 and 5,623,299 is: 12,117,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,575.50 : 5,623,299 = 5,623,299 : x
  2. Step 2: Convert to fraction form
    2,609,575.50/5,623,299 = 5,623,299/x
  3. Step 3: Cross multiply
    2,609,575.50x = 5,623,299 × 5,623,299
  4. Step 4: Simplify right side
    2,609,575.50x = 31,621,491,643,401
  5. Step 5: Solve for x
    x = 31,621,491,643,401/2,609,575.50
  6. Step 6: Final answer
    x = 12,117,484.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.