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Finding the Third Proportional to 501,224 and 1,101,686

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Solution

The third proportional to 501,224 and 1,101,686 is: 2,421,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,224 : 1,101,686 = 1,101,686 : x
  2. Step 2: Convert to fraction form
    501,224/1,101,686 = 1,101,686/x
  3. Step 3: Cross multiply
    501,224x = 1,101,686 × 1,101,686
  4. Step 4: Simplify right side
    501,224x = 1,213,712,042,596
  5. Step 5: Solve for x
    x = 1,213,712,042,596/501,224
  6. Step 6: Final answer
    x = 2,421,496.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.