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Finding the Third Proportional to 589,118.06 and 900,796.69

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Solution

The third proportional to 589,118.06 and 900,796.69 is: 1,377,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,118.06 : 900,796.69 = 900,796.69 : x
  2. Step 2: Convert to fraction form
    589,118.06/900,796.69 = 900,796.69/x
  3. Step 3: Cross multiply
    589,118.06x = 900,796.69 × 900,796.69
  4. Step 4: Simplify right side
    589,118.06x = 811,434,672,210.97
  5. Step 5: Solve for x
    x = 811,434,672,210.97/589,118.06
  6. Step 6: Final answer
    x = 1,377,371.91

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