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Finding the Third Proportional to 419,393 and 897,561

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Solution

The third proportional to 419,393 and 897,561 is: 1,920,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,393 : 897,561 = 897,561 : x
  2. Step 2: Convert to fraction form
    419,393/897,561 = 897,561/x
  3. Step 3: Cross multiply
    419,393x = 897,561 × 897,561
  4. Step 4: Simplify right side
    419,393x = 805,615,748,721
  5. Step 5: Solve for x
    x = 805,615,748,721/419,393
  6. Step 6: Final answer
    x = 1,920,908.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.