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Finding the Third Proportional to 767,478.75 and 1,174,611

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Solution

The third proportional to 767,478.75 and 1,174,611 is: 1,797,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,478.75 : 1,174,611 = 1,174,611 : x
  2. Step 2: Convert to fraction form
    767,478.75/1,174,611 = 1,174,611/x
  3. Step 3: Cross multiply
    767,478.75x = 1,174,611 × 1,174,611
  4. Step 4: Simplify right side
    767,478.75x = 1,379,711,001,321
  5. Step 5: Solve for x
    x = 1,379,711,001,321/767,478.75
  6. Step 6: Final answer
    x = 1,797,718.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.