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Finding the Third Proportional to 515,741 and 1,107,652

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Solution

The third proportional to 515,741 and 1,107,652 is: 2,378,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,741 : 1,107,652 = 1,107,652 : x
  2. Step 2: Convert to fraction form
    515,741/1,107,652 = 1,107,652/x
  3. Step 3: Cross multiply
    515,741x = 1,107,652 × 1,107,652
  4. Step 4: Simplify right side
    515,741x = 1,226,892,953,104
  5. Step 5: Solve for x
    x = 1,226,892,953,104/515,741
  6. Step 6: Final answer
    x = 2,378,893.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.