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Finding the Third Proportional to 410,860 and 897,344

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Solution

The third proportional to 410,860 and 897,344 is: 1,959,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,860 : 897,344 = 897,344 : x
  2. Step 2: Convert to fraction form
    410,860/897,344 = 897,344/x
  3. Step 3: Cross multiply
    410,860x = 897,344 × 897,344
  4. Step 4: Simplify right side
    410,860x = 805,226,254,336
  5. Step 5: Solve for x
    x = 805,226,254,336/410,860
  6. Step 6: Final answer
    x = 1,959,855.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.