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Finding the Third Proportional to 407,012 and 895,226

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Solution

The third proportional to 407,012 and 895,226 is: 1,969,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,012 : 895,226 = 895,226 : x
  2. Step 2: Convert to fraction form
    407,012/895,226 = 895,226/x
  3. Step 3: Cross multiply
    407,012x = 895,226 × 895,226
  4. Step 4: Simplify right side
    407,012x = 801,429,591,076
  5. Step 5: Solve for x
    x = 801,429,591,076/407,012
  6. Step 6: Final answer
    x = 1,969,056.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.