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Finding the Third Proportional to 435,811 and 944,007

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Solution

The third proportional to 435,811 and 944,007 is: 2,044,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,811 : 944,007 = 944,007 : x
  2. Step 2: Convert to fraction form
    435,811/944,007 = 944,007/x
  3. Step 3: Cross multiply
    435,811x = 944,007 × 944,007
  4. Step 4: Simplify right side
    435,811x = 891,149,216,049
  5. Step 5: Solve for x
    x = 891,149,216,049/435,811
  6. Step 6: Final answer
    x = 2,044,806.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.