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Finding the Third Proportional to 415,212 and 897,006

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Solution

The third proportional to 415,212 and 897,006 is: 1,937,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,212 : 897,006 = 897,006 : x
  2. Step 2: Convert to fraction form
    415,212/897,006 = 897,006/x
  3. Step 3: Cross multiply
    415,212x = 897,006 × 897,006
  4. Step 4: Simplify right side
    415,212x = 804,619,764,036
  5. Step 5: Solve for x
    x = 804,619,764,036/415,212
  6. Step 6: Final answer
    x = 1,937,852.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.