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Finding the Third Proportional to 589,887 and 902,022

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Solution

The third proportional to 589,887 and 902,022 is: 1,379,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,887 : 902,022 = 902,022 : x
  2. Step 2: Convert to fraction form
    589,887/902,022 = 902,022/x
  3. Step 3: Cross multiply
    589,887x = 902,022 × 902,022
  4. Step 4: Simplify right side
    589,887x = 813,643,688,484
  5. Step 5: Solve for x
    x = 813,643,688,484/589,887
  6. Step 6: Final answer
    x = 1,379,321.27

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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.