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Finding the Third Proportional to 409,532 and 897,797

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Solution

The third proportional to 409,532 and 897,797 is: 1,968,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,532 : 897,797 = 897,797 : x
  2. Step 2: Convert to fraction form
    409,532/897,797 = 897,797/x
  3. Step 3: Cross multiply
    409,532x = 897,797 × 897,797
  4. Step 4: Simplify right side
    409,532x = 806,039,453,209
  5. Step 5: Solve for x
    x = 806,039,453,209/409,532
  6. Step 6: Final answer
    x = 1,968,196.51

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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.