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Finding the Third Proportional to 501,036.75 and 1,181,559

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Solution

The third proportional to 501,036.75 and 1,181,559 is: 2,786,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,036.75 : 1,181,559 = 1,181,559 : x
  2. Step 2: Convert to fraction form
    501,036.75/1,181,559 = 1,181,559/x
  3. Step 3: Cross multiply
    501,036.75x = 1,181,559 × 1,181,559
  4. Step 4: Simplify right side
    501,036.75x = 1,396,081,670,481
  5. Step 5: Solve for x
    x = 1,396,081,670,481/501,036.75
  6. Step 6: Final answer
    x = 2,786,385.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.