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Finding the Third Proportional to 1,782,398.50 and 3,711,677

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Solution

The third proportional to 1,782,398.50 and 3,711,677 is: 7,729,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,398.50 : 3,711,677 = 3,711,677 : x
  2. Step 2: Convert to fraction form
    1,782,398.50/3,711,677 = 3,711,677/x
  3. Step 3: Cross multiply
    1,782,398.50x = 3,711,677 × 3,711,677
  4. Step 4: Simplify right side
    1,782,398.50x = 13,776,546,152,329
  5. Step 5: Solve for x
    x = 13,776,546,152,329/1,782,398.50
  6. Step 6: Final answer
    x = 7,729,217.77

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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.