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Finding the Third Proportional to 1,294,524 and 2,752,344

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Solution

The third proportional to 1,294,524 and 2,752,344 is: 5,851,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,524 : 2,752,344 = 2,752,344 : x
  2. Step 2: Convert to fraction form
    1,294,524/2,752,344 = 2,752,344/x
  3. Step 3: Cross multiply
    1,294,524x = 2,752,344 × 2,752,344
  4. Step 4: Simplify right side
    1,294,524x = 7,575,397,494,336
  5. Step 5: Solve for x
    x = 7,575,397,494,336/1,294,524
  6. Step 6: Final answer
    x = 5,851,878.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.