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Finding the Third Proportional to 442,176 and 947,439

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Solution

The third proportional to 442,176 and 947,439 is: 2,030,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,176 : 947,439 = 947,439 : x
  2. Step 2: Convert to fraction form
    442,176/947,439 = 947,439/x
  3. Step 3: Cross multiply
    442,176x = 947,439 × 947,439
  4. Step 4: Simplify right side
    442,176x = 897,640,658,721
  5. Step 5: Solve for x
    x = 897,640,658,721/442,176
  6. Step 6: Final answer
    x = 2,030,052.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.