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Finding the Third Proportional to 410,859 and 897,342

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Solution

The third proportional to 410,859 and 897,342 is: 1,959,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,859 : 897,342 = 897,342 : x
  2. Step 2: Convert to fraction form
    410,859/897,342 = 897,342/x
  3. Step 3: Cross multiply
    410,859x = 897,342 × 897,342
  4. Step 4: Simplify right side
    410,859x = 805,222,664,964
  5. Step 5: Solve for x
    x = 805,222,664,964/410,859
  6. Step 6: Final answer
    x = 1,959,851.59

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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.