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Finding the Third Proportional to 757,914 and 1,620,843

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Solution

The third proportional to 757,914 and 1,620,843 is: 3,466,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,914 : 1,620,843 = 1,620,843 : x
  2. Step 2: Convert to fraction form
    757,914/1,620,843 = 1,620,843/x
  3. Step 3: Cross multiply
    757,914x = 1,620,843 × 1,620,843
  4. Step 4: Simplify right side
    757,914x = 2,627,132,030,649
  5. Step 5: Solve for x
    x = 2,627,132,030,649/757,914
  6. Step 6: Final answer
    x = 3,466,266.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.