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Finding the Third Proportional to 411,079 and 896,663

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Solution

The third proportional to 411,079 and 896,663 is: 1,955,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,079 : 896,663 = 896,663 : x
  2. Step 2: Convert to fraction form
    411,079/896,663 = 896,663/x
  3. Step 3: Cross multiply
    411,079x = 896,663 × 896,663
  4. Step 4: Simplify right side
    411,079x = 804,004,535,569
  5. Step 5: Solve for x
    x = 804,004,535,569/411,079
  6. Step 6: Final answer
    x = 1,955,839.48

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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.