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Finding the Third Proportional to 2,757,008 and 5,847,456

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Solution

The third proportional to 2,757,008 and 5,847,456 is: 12,402,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757,008 : 5,847,456 = 5,847,456 : x
  2. Step 2: Convert to fraction form
    2,757,008/5,847,456 = 5,847,456/x
  3. Step 3: Cross multiply
    2,757,008x = 5,847,456 × 5,847,456
  4. Step 4: Simplify right side
    2,757,008x = 34,192,741,671,936
  5. Step 5: Solve for x
    x = 34,192,741,671,936/2,757,008
  6. Step 6: Final answer
    x = 12,402,119.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.