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Finding the Third Proportional to 648,864 and 867,951

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Solution

The third proportional to 648,864 and 867,951 is: 1,161,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,864 : 867,951 = 867,951 : x
  2. Step 2: Convert to fraction form
    648,864/867,951 = 867,951/x
  3. Step 3: Cross multiply
    648,864x = 867,951 × 867,951
  4. Step 4: Simplify right side
    648,864x = 753,338,938,401
  5. Step 5: Solve for x
    x = 753,338,938,401/648,864
  6. Step 6: Final answer
    x = 1,161,012.07

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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.