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Finding the Third Proportional to 1,530,537.25 and 2,388,854.75

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Solution

The third proportional to 1,530,537.25 and 2,388,854.75 is: 3,728,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,537.25 : 2,388,854.75 = 2,388,854.75 : x
  2. Step 2: Convert to fraction form
    1,530,537.25/2,388,854.75 = 2,388,854.75/x
  3. Step 3: Cross multiply
    1,530,537.25x = 2,388,854.75 × 2,388,854.75
  4. Step 4: Simplify right side
    1,530,537.25x = 5,706,627,016,597.56
  5. Step 5: Solve for x
    x = 5,706,627,016,597.56/1,530,537.25
  6. Step 6: Final answer
    x = 3,728,512.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.