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Finding the Third Proportional to 559,796.06 and 1,199,458.13

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Solution

The third proportional to 559,796.06 and 1,199,458.13 is: 2,570,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,796.06 : 1,199,458.13 = 1,199,458.13 : x
  2. Step 2: Convert to fraction form
    559,796.06/1,199,458.13 = 1,199,458.13/x
  3. Step 3: Cross multiply
    559,796.06x = 1,199,458.13 × 1,199,458.13
  4. Step 4: Simplify right side
    559,796.06x = 1,438,699,793,628.52
  5. Step 5: Solve for x
    x = 1,438,699,793,628.52/559,796.06
  6. Step 6: Final answer
    x = 2,570,042.72

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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.