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Finding the Third Proportional to 241,279,966 and 520,823,652

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Solution

The third proportional to 241,279,966 and 520,823,652 is: 1,124,242,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,279,966 : 520,823,652 = 520,823,652 : x
  2. Step 2: Convert to fraction form
    241,279,966/520,823,652 = 520,823,652/x
  3. Step 3: Cross multiply
    241,279,966x = 520,823,652 × 520,823,652
  4. Step 4: Simplify right side
    241,279,966x = 271,257,276,482,617,088
  5. Step 5: Solve for x
    x = 271,257,276,482,617,088/241,279,966
  6. Step 6: Final answer
    x = 1,124,242,849.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.