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Finding the Third Proportional to 2,854,545.75 and 4,124,322

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Solution

The third proportional to 2,854,545.75 and 4,124,322 is: 5,958,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,545.75 : 4,124,322 = 4,124,322 : x
  2. Step 2: Convert to fraction form
    2,854,545.75/4,124,322 = 4,124,322/x
  3. Step 3: Cross multiply
    2,854,545.75x = 4,124,322 × 4,124,322
  4. Step 4: Simplify right side
    2,854,545.75x = 17,010,031,959,684
  5. Step 5: Solve for x
    x = 17,010,031,959,684/2,854,545.75
  6. Step 6: Final answer
    x = 5,958,927.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.