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Finding the Third Proportional to 959,760 and 2,059,164

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Solution

The third proportional to 959,760 and 2,059,164 is: 4,417,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,760 : 2,059,164 = 2,059,164 : x
  2. Step 2: Convert to fraction form
    959,760/2,059,164 = 2,059,164/x
  3. Step 3: Cross multiply
    959,760x = 2,059,164 × 2,059,164
  4. Step 4: Simplify right side
    959,760x = 4,240,156,378,896
  5. Step 5: Solve for x
    x = 4,240,156,378,896/959,760
  6. Step 6: Final answer
    x = 4,417,934.04

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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.