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Finding the Third Proportional to 762,614 and 1,643,425

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Solution

The third proportional to 762,614 and 1,643,425 is: 3,541,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,614 : 1,643,425 = 1,643,425 : x
  2. Step 2: Convert to fraction form
    762,614/1,643,425 = 1,643,425/x
  3. Step 3: Cross multiply
    762,614x = 1,643,425 × 1,643,425
  4. Step 4: Simplify right side
    762,614x = 2,700,845,730,625
  5. Step 5: Solve for x
    x = 2,700,845,730,625/762,614
  6. Step 6: Final answer
    x = 3,541,563.27

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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.