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Finding the Third Proportional to 1,557,843.25 and 3,239,525.25

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Solution

The third proportional to 1,557,843.25 and 3,239,525.25 is: 6,736,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557,843.25 : 3,239,525.25 = 3,239,525.25 : x
  2. Step 2: Convert to fraction form
    1,557,843.25/3,239,525.25 = 3,239,525.25/x
  3. Step 3: Cross multiply
    1,557,843.25x = 3,239,525.25 × 3,239,525.25
  4. Step 4: Simplify right side
    1,557,843.25x = 10,494,523,845,387.56
  5. Step 5: Solve for x
    x = 10,494,523,845,387.56/1,557,843.25
  6. Step 6: Final answer
    x = 6,736,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.