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Finding the Third Proportional to 865,824 and 1,918,524

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Solution

The third proportional to 865,824 and 1,918,524 is: 4,251,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,824 : 1,918,524 = 1,918,524 : x
  2. Step 2: Convert to fraction form
    865,824/1,918,524 = 1,918,524/x
  3. Step 3: Cross multiply
    865,824x = 1,918,524 × 1,918,524
  4. Step 4: Simplify right side
    865,824x = 3,680,734,338,576
  5. Step 5: Solve for x
    x = 3,680,734,338,576/865,824
  6. Step 6: Final answer
    x = 4,251,134.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.