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Finding the Third Proportional to 783,693.50 and 1,103,611

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Solution

The third proportional to 783,693.50 and 1,103,611 is: 1,554,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,693.50 : 1,103,611 = 1,103,611 : x
  2. Step 2: Convert to fraction form
    783,693.50/1,103,611 = 1,103,611/x
  3. Step 3: Cross multiply
    783,693.50x = 1,103,611 × 1,103,611
  4. Step 4: Simplify right side
    783,693.50x = 1,217,957,239,321
  5. Step 5: Solve for x
    x = 1,217,957,239,321/783,693.50
  6. Step 6: Final answer
    x = 1,554,124.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.