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Finding the Third Proportional to 541,224 and 1,174,651

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Solution

The third proportional to 541,224 and 1,174,651 is: 2,549,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,224 : 1,174,651 = 1,174,651 : x
  2. Step 2: Convert to fraction form
    541,224/1,174,651 = 1,174,651/x
  3. Step 3: Cross multiply
    541,224x = 1,174,651 × 1,174,651
  4. Step 4: Simplify right side
    541,224x = 1,379,804,971,801
  5. Step 5: Solve for x
    x = 1,379,804,971,801/541,224
  6. Step 6: Final answer
    x = 2,549,415.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.