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Finding the Third Proportional to 589,134.94 and 900,822.94

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Solution

The third proportional to 589,134.94 and 900,822.94 is: 1,377,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,134.94 : 900,822.94 = 900,822.94 : x
  2. Step 2: Convert to fraction form
    589,134.94/900,822.94 = 900,822.94/x
  3. Step 3: Cross multiply
    589,134.94x = 900,822.94 × 900,822.94
  4. Step 4: Simplify right side
    589,134.94x = 811,481,964,726.13
  5. Step 5: Solve for x
    x = 811,481,964,726.13/589,134.94
  6. Step 6: Final answer
    x = 1,377,412.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.