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Finding the Third Proportional to 762,407.25 and 1,657,614

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Solution

The third proportional to 762,407.25 and 1,657,614 is: 3,603,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,407.25 : 1,657,614 = 1,657,614 : x
  2. Step 2: Convert to fraction form
    762,407.25/1,657,614 = 1,657,614/x
  3. Step 3: Cross multiply
    762,407.25x = 1,657,614 × 1,657,614
  4. Step 4: Simplify right side
    762,407.25x = 2,747,684,172,996
  5. Step 5: Solve for x
    x = 2,747,684,172,996/762,407.25
  6. Step 6: Final answer
    x = 3,603,958.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.