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Finding the Third Proportional to 722,304 and 1,577,856

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Solution

The third proportional to 722,304 and 1,577,856 is: 3,446,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,304 : 1,577,856 = 1,577,856 : x
  2. Step 2: Convert to fraction form
    722,304/1,577,856 = 1,577,856/x
  3. Step 3: Cross multiply
    722,304x = 1,577,856 × 1,577,856
  4. Step 4: Simplify right side
    722,304x = 2,489,629,556,736
  5. Step 5: Solve for x
    x = 2,489,629,556,736/722,304
  6. Step 6: Final answer
    x = 3,446,789.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.