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Finding the Third Proportional to 589,112 and 900,802

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Solution

The third proportional to 589,112 and 900,802 is: 1,377,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,112 : 900,802 = 900,802 : x
  2. Step 2: Convert to fraction form
    589,112/900,802 = 900,802/x
  3. Step 3: Cross multiply
    589,112x = 900,802 × 900,802
  4. Step 4: Simplify right side
    589,112x = 811,444,243,204
  5. Step 5: Solve for x
    x = 811,444,243,204/589,112
  6. Step 6: Final answer
    x = 1,377,402.33

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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.