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Finding the Third Proportional to 442,163 and 947,416

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Solution

The third proportional to 442,163 and 947,416 is: 2,030,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,163 : 947,416 = 947,416 : x
  2. Step 2: Convert to fraction form
    442,163/947,416 = 947,416/x
  3. Step 3: Cross multiply
    442,163x = 947,416 × 947,416
  4. Step 4: Simplify right side
    442,163x = 897,597,077,056
  5. Step 5: Solve for x
    x = 897,597,077,056/442,163
  6. Step 6: Final answer
    x = 2,030,013.99

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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.