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Finding the Third Proportional to 4,759,728 and 6,940,208

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Solution

The third proportional to 4,759,728 and 6,940,208 is: 10,119,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759,728 : 6,940,208 = 6,940,208 : x
  2. Step 2: Convert to fraction form
    4,759,728/6,940,208 = 6,940,208/x
  3. Step 3: Cross multiply
    4,759,728x = 6,940,208 × 6,940,208
  4. Step 4: Simplify right side
    4,759,728x = 48,166,487,083,264
  5. Step 5: Solve for x
    x = 48,166,487,083,264/4,759,728
  6. Step 6: Final answer
    x = 10,119,588.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.