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Finding the Third Proportional to 274,228,221 and 593,184,829

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Solution

The third proportional to 274,228,221 and 593,184,829 is: 1,283,121,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,228,221 : 593,184,829 = 593,184,829 : x
  2. Step 2: Convert to fraction form
    274,228,221/593,184,829 = 593,184,829/x
  3. Step 3: Cross multiply
    274,228,221x = 593,184,829 × 593,184,829
  4. Step 4: Simplify right side
    274,228,221x = 351,868,241,355,759,232
  5. Step 5: Solve for x
    x = 351,868,241,355,759,232/274,228,221
  6. Step 6: Final answer
    x = 1,283,121,919.66

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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.