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Finding the Third Proportional to 2,361,306 and 5,218,773

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Solution

The third proportional to 2,361,306 and 5,218,773 is: 11,534,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,306 : 5,218,773 = 5,218,773 : x
  2. Step 2: Convert to fraction form
    2,361,306/5,218,773 = 5,218,773/x
  3. Step 3: Cross multiply
    2,361,306x = 5,218,773 × 5,218,773
  4. Step 4: Simplify right side
    2,361,306x = 27,235,591,625,529
  5. Step 5: Solve for x
    x = 27,235,591,625,529/2,361,306
  6. Step 6: Final answer
    x = 11,534,122.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.