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Finding the Third Proportional to 722,677.50 and 1,606,932

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Solution

The third proportional to 722,677.50 and 1,606,932 is: 3,573,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,677.50 : 1,606,932 = 1,606,932 : x
  2. Step 2: Convert to fraction form
    722,677.50/1,606,932 = 1,606,932/x
  3. Step 3: Cross multiply
    722,677.50x = 1,606,932 × 1,606,932
  4. Step 4: Simplify right side
    722,677.50x = 2,582,230,452,624
  5. Step 5: Solve for x
    x = 2,582,230,452,624/722,677.50
  6. Step 6: Final answer
    x = 3,573,143.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.