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Finding the Third Proportional to 589,900 and 902,040

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Solution

The third proportional to 589,900 and 902,040 is: 1,379,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,900 : 902,040 = 902,040 : x
  2. Step 2: Convert to fraction form
    589,900/902,040 = 902,040/x
  3. Step 3: Cross multiply
    589,900x = 902,040 × 902,040
  4. Step 4: Simplify right side
    589,900x = 813,676,161,600
  5. Step 5: Solve for x
    x = 813,676,161,600/589,900
  6. Step 6: Final answer
    x = 1,379,345.93

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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.