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Finding the Third Proportional to 590,884 and 886,109

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Solution

The third proportional to 590,884 and 886,109 is: 1,328,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,884 : 886,109 = 886,109 : x
  2. Step 2: Convert to fraction form
    590,884/886,109 = 886,109/x
  3. Step 3: Cross multiply
    590,884x = 886,109 × 886,109
  4. Step 4: Simplify right side
    590,884x = 785,189,159,881
  5. Step 5: Solve for x
    x = 785,189,159,881/590,884
  6. Step 6: Final answer
    x = 1,328,838.08

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