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Finding the Third Proportional to 589,898 and 902,037

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Solution

The third proportional to 589,898 and 902,037 is: 1,379,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,898 : 902,037 = 902,037 : x
  2. Step 2: Convert to fraction form
    589,898/902,037 = 902,037/x
  3. Step 3: Cross multiply
    589,898x = 902,037 × 902,037
  4. Step 4: Simplify right side
    589,898x = 813,670,749,369
  5. Step 5: Solve for x
    x = 813,670,749,369/589,898
  6. Step 6: Final answer
    x = 1,379,341.43

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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.