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Finding the Third Proportional to 769,032 and 1,656,396

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Solution

The third proportional to 769,032 and 1,656,396 is: 3,567,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,032 : 1,656,396 = 1,656,396 : x
  2. Step 2: Convert to fraction form
    769,032/1,656,396 = 1,656,396/x
  3. Step 3: Cross multiply
    769,032x = 1,656,396 × 1,656,396
  4. Step 4: Simplify right side
    769,032x = 2,743,647,708,816
  5. Step 5: Solve for x
    x = 2,743,647,708,816/769,032
  6. Step 6: Final answer
    x = 3,567,663.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.