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Finding the Third Proportional to 442,188 and 947,463

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Solution

The third proportional to 442,188 and 947,463 is: 2,030,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,188 : 947,463 = 947,463 : x
  2. Step 2: Convert to fraction form
    442,188/947,463 = 947,463/x
  3. Step 3: Cross multiply
    442,188x = 947,463 × 947,463
  4. Step 4: Simplify right side
    442,188x = 897,686,136,369
  5. Step 5: Solve for x
    x = 897,686,136,369/442,188
  6. Step 6: Final answer
    x = 2,030,100.63

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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.