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Finding the Third Proportional to 1,684,422 and 2,591,691

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Solution

The third proportional to 1,684,422 and 2,591,691 is: 3,987,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,422 : 2,591,691 = 2,591,691 : x
  2. Step 2: Convert to fraction form
    1,684,422/2,591,691 = 2,591,691/x
  3. Step 3: Cross multiply
    1,684,422x = 2,591,691 × 2,591,691
  4. Step 4: Simplify right side
    1,684,422x = 6,716,862,239,481
  5. Step 5: Solve for x
    x = 6,716,862,239,481/1,684,422
  6. Step 6: Final answer
    x = 3,987,636.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.