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Finding the Third Proportional to 469,005 and 954,570.75

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Solution

The third proportional to 469,005 and 954,570.75 is: 1,942,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,005 : 954,570.75 = 954,570.75 : x
  2. Step 2: Convert to fraction form
    469,005/954,570.75 = 954,570.75/x
  3. Step 3: Cross multiply
    469,005x = 954,570.75 × 954,570.75
  4. Step 4: Simplify right side
    469,005x = 911,205,316,755.56
  5. Step 5: Solve for x
    x = 911,205,316,755.56/469,005
  6. Step 6: Final answer
    x = 1,942,847.77

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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.