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Finding the Third Proportional to 2,800,512 and 6,145,632

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Solution

The third proportional to 2,800,512 and 6,145,632 is: 13,486,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800,512 : 6,145,632 = 6,145,632 : x
  2. Step 2: Convert to fraction form
    2,800,512/6,145,632 = 6,145,632/x
  3. Step 3: Cross multiply
    2,800,512x = 6,145,632 × 6,145,632
  4. Step 4: Simplify right side
    2,800,512x = 37,768,792,679,424
  5. Step 5: Solve for x
    x = 37,768,792,679,424/2,800,512
  6. Step 6: Final answer
    x = 13,486,388.45

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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.