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Finding the Third Proportional to 590,942 and 886,197

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Solution

The third proportional to 590,942 and 886,197 is: 1,328,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,942 : 886,197 = 886,197 : x
  2. Step 2: Convert to fraction form
    590,942/886,197 = 886,197/x
  3. Step 3: Cross multiply
    590,942x = 886,197 × 886,197
  4. Step 4: Simplify right side
    590,942x = 785,345,122,809
  5. Step 5: Solve for x
    x = 785,345,122,809/590,942
  6. Step 6: Final answer
    x = 1,328,971.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.