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Finding the Third Proportional to 2,930,084 and 6,084,736

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Solution

The third proportional to 2,930,084 and 6,084,736 is: 12,635,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930,084 : 6,084,736 = 6,084,736 : x
  2. Step 2: Convert to fraction form
    2,930,084/6,084,736 = 6,084,736/x
  3. Step 3: Cross multiply
    2,930,084x = 6,084,736 × 6,084,736
  4. Step 4: Simplify right side
    2,930,084x = 37,024,012,189,696
  5. Step 5: Solve for x
    x = 37,024,012,189,696/2,930,084
  6. Step 6: Final answer
    x = 12,635,819.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.