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Finding the Third Proportional to 2,131,110 and 4,564,512

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Solution

The third proportional to 2,131,110 and 4,564,512 is: 9,776,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,110 : 4,564,512 = 4,564,512 : x
  2. Step 2: Convert to fraction form
    2,131,110/4,564,512 = 4,564,512/x
  3. Step 3: Cross multiply
    2,131,110x = 4,564,512 × 4,564,512
  4. Step 4: Simplify right side
    2,131,110x = 20,834,769,798,144
  5. Step 5: Solve for x
    x = 20,834,769,798,144/2,131,110
  6. Step 6: Final answer
    x = 9,776,487.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.