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Finding the Third Proportional to 501,224 and 1,169,563

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Solution

The third proportional to 501,224 and 1,169,563 is: 2,729,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,224 : 1,169,563 = 1,169,563 : x
  2. Step 2: Convert to fraction form
    501,224/1,169,563 = 1,169,563/x
  3. Step 3: Cross multiply
    501,224x = 1,169,563 × 1,169,563
  4. Step 4: Simplify right side
    501,224x = 1,367,877,610,969
  5. Step 5: Solve for x
    x = 1,367,877,610,969/501,224
  6. Step 6: Final answer
    x = 2,729,074.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.