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Finding the Third Proportional to 844,527 and 1,233,963

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Solution

The third proportional to 844,527 and 1,233,963 is: 1,802,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,527 : 1,233,963 = 1,233,963 : x
  2. Step 2: Convert to fraction form
    844,527/1,233,963 = 1,233,963/x
  3. Step 3: Cross multiply
    844,527x = 1,233,963 × 1,233,963
  4. Step 4: Simplify right side
    844,527x = 1,522,664,685,369
  5. Step 5: Solve for x
    x = 1,522,664,685,369/844,527
  6. Step 6: Final answer
    x = 1,802,979.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.