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Finding the Third Proportional to 508,032 and 1,103,616

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Solution

The third proportional to 508,032 and 1,103,616 is: 2,397,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,032 : 1,103,616 = 1,103,616 : x
  2. Step 2: Convert to fraction form
    508,032/1,103,616 = 1,103,616/x
  3. Step 3: Cross multiply
    508,032x = 1,103,616 × 1,103,616
  4. Step 4: Simplify right side
    508,032x = 1,217,968,275,456
  5. Step 5: Solve for x
    x = 1,217,968,275,456/508,032
  6. Step 6: Final answer
    x = 2,397,424.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.