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Finding the Third Proportional to 590,194.69 and 1,264,111.31

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Solution

The third proportional to 590,194.69 and 1,264,111.31 is: 2,707,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,194.69 : 1,264,111.31 = 1,264,111.31 : x
  2. Step 2: Convert to fraction form
    590,194.69/1,264,111.31 = 1,264,111.31/x
  3. Step 3: Cross multiply
    590,194.69x = 1,264,111.31 × 1,264,111.31
  4. Step 4: Simplify right side
    590,194.69x = 1,597,977,410,390.47
  5. Step 5: Solve for x
    x = 1,597,977,410,390.47/590,194.69
  6. Step 6: Final answer
    x = 2,707,542.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.