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Finding the Third Proportional to 443,836.69 and 970,706.81

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Solution

The third proportional to 443,836.69 and 970,706.81 is: 2,123,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,836.69 : 970,706.81 = 970,706.81 : x
  2. Step 2: Convert to fraction form
    443,836.69/970,706.81 = 970,706.81/x
  3. Step 3: Cross multiply
    443,836.69x = 970,706.81 × 970,706.81
  4. Step 4: Simplify right side
    443,836.69x = 942,271,715,833.91
  5. Step 5: Solve for x
    x = 942,271,715,833.91/443,836.69
  6. Step 6: Final answer
    x = 2,123,014.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.