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Finding the Third Proportional to 559,802.25 and 1,199,469.38

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Solution

The third proportional to 559,802.25 and 1,199,469.38 is: 2,570,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,802.25 : 1,199,469.38 = 1,199,469.38 : x
  2. Step 2: Convert to fraction form
    559,802.25/1,199,469.38 = 1,199,469.38/x
  3. Step 3: Cross multiply
    559,802.25x = 1,199,469.38 × 1,199,469.38
  4. Step 4: Simplify right side
    559,802.25x = 1,438,726,781,562.89
  5. Step 5: Solve for x
    x = 1,438,726,781,562.89/559,802.25
  6. Step 6: Final answer
    x = 2,570,062.52

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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.