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Finding the Third Proportional to 1,649,932 and 3,579,799

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Solution

The third proportional to 1,649,932 and 3,579,799 is: 7,766,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,932 : 3,579,799 = 3,579,799 : x
  2. Step 2: Convert to fraction form
    1,649,932/3,579,799 = 3,579,799/x
  3. Step 3: Cross multiply
    1,649,932x = 3,579,799 × 3,579,799
  4. Step 4: Simplify right side
    1,649,932x = 12,814,960,880,401
  5. Step 5: Solve for x
    x = 12,814,960,880,401/1,649,932
  6. Step 6: Final answer
    x = 7,766,963.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.