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Finding the Third Proportional to 1,171,507 and 2,557,824

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Solution

The third proportional to 1,171,507 and 2,557,824 is: 5,584,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,507 : 2,557,824 = 2,557,824 : x
  2. Step 2: Convert to fraction form
    1,171,507/2,557,824 = 2,557,824/x
  3. Step 3: Cross multiply
    1,171,507x = 2,557,824 × 2,557,824
  4. Step 4: Simplify right side
    1,171,507x = 6,542,463,614,976
  5. Step 5: Solve for x
    x = 6,542,463,614,976/1,171,507
  6. Step 6: Final answer
    x = 5,584,656.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.