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Finding the Third Proportional to 959,164 and 2,098,858

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Solution

The third proportional to 959,164 and 2,098,858 is: 4,592,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,164 : 2,098,858 = 2,098,858 : x
  2. Step 2: Convert to fraction form
    959,164/2,098,858 = 2,098,858/x
  3. Step 3: Cross multiply
    959,164x = 2,098,858 × 2,098,858
  4. Step 4: Simplify right side
    959,164x = 4,405,204,904,164
  5. Step 5: Solve for x
    x = 4,405,204,904,164/959,164
  6. Step 6: Final answer
    x = 4,592,754.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.