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Finding the Third Proportional to 5,898,328.50 and 7,969,017

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Solution

The third proportional to 5,898,328.50 and 7,969,017 is: 10,766,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898,328.50 : 7,969,017 = 7,969,017 : x
  2. Step 2: Convert to fraction form
    5,898,328.50/7,969,017 = 7,969,017/x
  3. Step 3: Cross multiply
    5,898,328.50x = 7,969,017 × 7,969,017
  4. Step 4: Simplify right side
    5,898,328.50x = 63,505,231,946,289
  5. Step 5: Solve for x
    x = 63,505,231,946,289/5,898,328.50
  6. Step 6: Final answer
    x = 10,766,648.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.