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Finding the Third Proportional to 221,110 and 519,770

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Solution

The third proportional to 221,110 and 519,770 is: 1,221,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,110 : 519,770 = 519,770 : x
  2. Step 2: Convert to fraction form
    221,110/519,770 = 519,770/x
  3. Step 3: Cross multiply
    221,110x = 519,770 × 519,770
  4. Step 4: Simplify right side
    221,110x = 270,160,852,900
  5. Step 5: Solve for x
    x = 270,160,852,900/221,110
  6. Step 6: Final answer
    x = 1,221,839.14

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.