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Finding the Third Proportional to 589,730 and 806,997

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Solution

The third proportional to 589,730 and 806,997 is: 1,104,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,730 : 806,997 = 806,997 : x
  2. Step 2: Convert to fraction form
    589,730/806,997 = 806,997/x
  3. Step 3: Cross multiply
    589,730x = 806,997 × 806,997
  4. Step 4: Simplify right side
    589,730x = 651,244,158,009
  5. Step 5: Solve for x
    x = 651,244,158,009/589,730
  6. Step 6: Final answer
    x = 1,104,309.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.