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Finding the Third Proportional to 1,835,730 and 2,580,545.25

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Solution

The third proportional to 1,835,730 and 2,580,545.25 is: 3,627,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,730 : 2,580,545.25 = 2,580,545.25 : x
  2. Step 2: Convert to fraction form
    1,835,730/2,580,545.25 = 2,580,545.25/x
  3. Step 3: Cross multiply
    1,835,730x = 2,580,545.25 × 2,580,545.25
  4. Step 4: Simplify right side
    1,835,730x = 6,659,213,787,297.56
  5. Step 5: Solve for x
    x = 6,659,213,787,297.56/1,835,730
  6. Step 6: Final answer
    x = 3,627,556.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.