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Finding the Third Proportional to 981,494 and 1,477,161.50

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Solution

The third proportional to 981,494 and 1,477,161.50 is: 2,223,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,494 : 1,477,161.50 = 1,477,161.50 : x
  2. Step 2: Convert to fraction form
    981,494/1,477,161.50 = 1,477,161.50/x
  3. Step 3: Cross multiply
    981,494x = 1,477,161.50 × 1,477,161.50
  4. Step 4: Simplify right side
    981,494x = 2,182,006,097,082.25
  5. Step 5: Solve for x
    x = 2,182,006,097,082.25/981,494
  6. Step 6: Final answer
    x = 2,223,147.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.