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Finding the Third Proportional to 2,029,728 and 4,416,771

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Solution

The third proportional to 2,029,728 and 4,416,771 is: 9,611,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,728 : 4,416,771 = 4,416,771 : x
  2. Step 2: Convert to fraction form
    2,029,728/4,416,771 = 4,416,771/x
  3. Step 3: Cross multiply
    2,029,728x = 4,416,771 × 4,416,771
  4. Step 4: Simplify right side
    2,029,728x = 19,507,866,066,441
  5. Step 5: Solve for x
    x = 19,507,866,066,441/2,029,728
  6. Step 6: Final answer
    x = 9,611,074.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.