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Finding the Third Proportional to 1,640,855.25 and 3,544,614

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Solution

The third proportional to 1,640,855.25 and 3,544,614 is: 7,657,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,855.25 : 3,544,614 = 3,544,614 : x
  2. Step 2: Convert to fraction form
    1,640,855.25/3,544,614 = 3,544,614/x
  3. Step 3: Cross multiply
    1,640,855.25x = 3,544,614 × 3,544,614
  4. Step 4: Simplify right side
    1,640,855.25x = 12,564,288,408,996
  5. Step 5: Solve for x
    x = 12,564,288,408,996/1,640,855.25
  6. Step 6: Final answer
    x = 7,657,158.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.