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Finding the Third Proportional to 451,010 and 970,060

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Solution

The third proportional to 451,010 and 970,060 is: 2,086,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,010 : 970,060 = 970,060 : x
  2. Step 2: Convert to fraction form
    451,010/970,060 = 970,060/x
  3. Step 3: Cross multiply
    451,010x = 970,060 × 970,060
  4. Step 4: Simplify right side
    451,010x = 941,016,403,600
  5. Step 5: Solve for x
    x = 941,016,403,600/451,010
  6. Step 6: Final answer
    x = 2,086,464.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.