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Finding the Third Proportional to 440,640 and 965,632

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Solution

The third proportional to 440,640 and 965,632 is: 2,116,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,640 : 965,632 = 965,632 : x
  2. Step 2: Convert to fraction form
    440,640/965,632 = 965,632/x
  3. Step 3: Cross multiply
    440,640x = 965,632 × 965,632
  4. Step 4: Simplify right side
    440,640x = 932,445,159,424
  5. Step 5: Solve for x
    x = 932,445,159,424/440,640
  6. Step 6: Final answer
    x = 2,116,115.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.