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Finding the Third Proportional to 512,881.25 and 1,104,638

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Solution

The third proportional to 512,881.25 and 1,104,638 is: 2,379,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,881.25 : 1,104,638 = 1,104,638 : x
  2. Step 2: Convert to fraction form
    512,881.25/1,104,638 = 1,104,638/x
  3. Step 3: Cross multiply
    512,881.25x = 1,104,638 × 1,104,638
  4. Step 4: Simplify right side
    512,881.25x = 1,220,225,111,044
  5. Step 5: Solve for x
    x = 1,220,225,111,044/512,881.25
  6. Step 6: Final answer
    x = 2,379,157.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.