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Finding the Third Proportional to 1,782,404 and 3,711,689

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Solution

The third proportional to 1,782,404 and 3,711,689 is: 7,729,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,404 : 3,711,689 = 3,711,689 : x
  2. Step 2: Convert to fraction form
    1,782,404/3,711,689 = 3,711,689/x
  3. Step 3: Cross multiply
    1,782,404x = 3,711,689 × 3,711,689
  4. Step 4: Simplify right side
    1,782,404x = 13,776,635,232,721
  5. Step 5: Solve for x
    x = 13,776,635,232,721/1,782,404
  6. Step 6: Final answer
    x = 7,729,243.89

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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.