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Finding the Third Proportional to 501,042 and 1,181,570

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Solution

The third proportional to 501,042 and 1,181,570 is: 2,786,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,042 : 1,181,570 = 1,181,570 : x
  2. Step 2: Convert to fraction form
    501,042/1,181,570 = 1,181,570/x
  3. Step 3: Cross multiply
    501,042x = 1,181,570 × 1,181,570
  4. Step 4: Simplify right side
    501,042x = 1,396,107,664,900
  5. Step 5: Solve for x
    x = 1,396,107,664,900/501,042
  6. Step 6: Final answer
    x = 2,786,408.45

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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.