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Finding the Third Proportional to 469,007 and 954,575

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Solution

The third proportional to 469,007 and 954,575 is: 1,942,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,007 : 954,575 = 954,575 : x
  2. Step 2: Convert to fraction form
    469,007/954,575 = 954,575/x
  3. Step 3: Cross multiply
    469,007x = 954,575 × 954,575
  4. Step 4: Simplify right side
    469,007x = 911,213,430,625
  5. Step 5: Solve for x
    x = 911,213,430,625/469,007
  6. Step 6: Final answer
    x = 1,942,856.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.