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Finding the Third Proportional to 590,906 and 970,809

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Solution

The third proportional to 590,906 and 970,809 is: 1,594,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,906 : 970,809 = 970,809 : x
  2. Step 2: Convert to fraction form
    590,906/970,809 = 970,809/x
  3. Step 3: Cross multiply
    590,906x = 970,809 × 970,809
  4. Step 4: Simplify right side
    590,906x = 942,470,114,481
  5. Step 5: Solve for x
    x = 942,470,114,481/590,906
  6. Step 6: Final answer
    x = 1,594,957.77

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.