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Finding the Third Proportional to 787,502.63 and 1,181,010.75

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Solution

The third proportional to 787,502.63 and 1,181,010.75 is: 1,771,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,502.63 : 1,181,010.75 = 1,181,010.75 : x
  2. Step 2: Convert to fraction form
    787,502.63/1,181,010.75 = 1,181,010.75/x
  3. Step 3: Cross multiply
    787,502.63x = 1,181,010.75 × 1,181,010.75
  4. Step 4: Simplify right side
    787,502.63x = 1,394,786,391,615.56
  5. Step 5: Solve for x
    x = 1,394,786,391,615.56/787,502.63
  6. Step 6: Final answer
    x = 1,771,151.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.