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Finding the Third Proportional to 452,602.69 and 970,921.69

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Solution

The third proportional to 452,602.69 and 970,921.69 is: 2,082,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,602.69 : 970,921.69 = 970,921.69 : x
  2. Step 2: Convert to fraction form
    452,602.69/970,921.69 = 970,921.69/x
  3. Step 3: Cross multiply
    452,602.69x = 970,921.69 × 970,921.69
  4. Step 4: Simplify right side
    452,602.69x = 942,688,923,257.85
  5. Step 5: Solve for x
    x = 942,688,923,257.85/452,602.69
  6. Step 6: Final answer
    x = 2,082,817.78

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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.