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Finding the Third Proportional to 2,920,591 and 6,401,647

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Solution

The third proportional to 2,920,591 and 6,401,647 is: 14,031,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920,591 : 6,401,647 = 6,401,647 : x
  2. Step 2: Convert to fraction form
    2,920,591/6,401,647 = 6,401,647/x
  3. Step 3: Cross multiply
    2,920,591x = 6,401,647 × 6,401,647
  4. Step 4: Simplify right side
    2,920,591x = 40,981,084,312,609
  5. Step 5: Solve for x
    x = 40,981,084,312,609/2,920,591
  6. Step 6: Final answer
    x = 14,031,777.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.