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Finding the Third Proportional to 648,866 and 867,945

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Solution

The third proportional to 648,866 and 867,945 is: 1,160,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,866 : 867,945 = 867,945 : x
  2. Step 2: Convert to fraction form
    648,866/867,945 = 867,945/x
  3. Step 3: Cross multiply
    648,866x = 867,945 × 867,945
  4. Step 4: Simplify right side
    648,866x = 753,328,523,025
  5. Step 5: Solve for x
    x = 753,328,523,025/648,866
  6. Step 6: Final answer
    x = 1,160,992.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.