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Finding the Third Proportional to 597,966 and 926,838

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Solution

The third proportional to 597,966 and 926,838 is: 1,436,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,966 : 926,838 = 926,838 : x
  2. Step 2: Convert to fraction form
    597,966/926,838 = 926,838/x
  3. Step 3: Cross multiply
    597,966x = 926,838 × 926,838
  4. Step 4: Simplify right side
    597,966x = 859,028,678,244
  5. Step 5: Solve for x
    x = 859,028,678,244/597,966
  6. Step 6: Final answer
    x = 1,436,584.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.