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Finding the Third Proportional to 469,010 and 954,580

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Solution

The third proportional to 469,010 and 954,580 is: 1,942,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,010 : 954,580 = 954,580 : x
  2. Step 2: Convert to fraction form
    469,010/954,580 = 954,580/x
  3. Step 3: Cross multiply
    469,010x = 954,580 × 954,580
  4. Step 4: Simplify right side
    469,010x = 911,222,976,400
  5. Step 5: Solve for x
    x = 911,222,976,400/469,010
  6. Step 6: Final answer
    x = 1,942,864.71

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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.