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Finding the Third Proportional to 589,896 and 902,034

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Solution

The third proportional to 589,896 and 902,034 is: 1,379,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,896 : 902,034 = 902,034 : x
  2. Step 2: Convert to fraction form
    589,896/902,034 = 902,034/x
  3. Step 3: Cross multiply
    589,896x = 902,034 × 902,034
  4. Step 4: Simplify right side
    589,896x = 813,665,337,156
  5. Step 5: Solve for x
    x = 813,665,337,156/589,896
  6. Step 6: Final answer
    x = 1,379,336.93

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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.