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Finding the Third Proportional to 601,764.19 and 1,231,196.63

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Solution

The third proportional to 601,764.19 and 1,231,196.63 is: 2,519,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,764.19 : 1,231,196.63 = 1,231,196.63 : x
  2. Step 2: Convert to fraction form
    601,764.19/1,231,196.63 = 1,231,196.63/x
  3. Step 3: Cross multiply
    601,764.19x = 1,231,196.63 × 1,231,196.63
  4. Step 4: Simplify right side
    601,764.19x = 1,515,845,129,411.39
  5. Step 5: Solve for x
    x = 1,515,845,129,411.39/601,764.19
  6. Step 6: Final answer
    x = 2,519,001.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.