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Finding the Third Proportional to 442,161 and 947,412

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Solution

The third proportional to 442,161 and 947,412 is: 2,030,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,161 : 947,412 = 947,412 : x
  2. Step 2: Convert to fraction form
    442,161/947,412 = 947,412/x
  3. Step 3: Cross multiply
    442,161x = 947,412 × 947,412
  4. Step 4: Simplify right side
    442,161x = 897,589,497,744
  5. Step 5: Solve for x
    x = 897,589,497,744/442,161
  6. Step 6: Final answer
    x = 2,030,006.03

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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.