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Finding the Third Proportional to 442,190 and 947,468

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Solution

The third proportional to 442,190 and 947,468 is: 2,030,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,190 : 947,468 = 947,468 : x
  2. Step 2: Convert to fraction form
    442,190/947,468 = 947,468/x
  3. Step 3: Cross multiply
    442,190x = 947,468 × 947,468
  4. Step 4: Simplify right side
    442,190x = 897,695,611,024
  5. Step 5: Solve for x
    x = 897,695,611,024/442,190
  6. Step 6: Final answer
    x = 2,030,112.87

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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.