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Finding the Third Proportional to 635,744 and 1,323,220

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Solution

The third proportional to 635,744 and 1,323,220 is: 2,754,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,744 : 1,323,220 = 1,323,220 : x
  2. Step 2: Convert to fraction form
    635,744/1,323,220 = 1,323,220/x
  3. Step 3: Cross multiply
    635,744x = 1,323,220 × 1,323,220
  4. Step 4: Simplify right side
    635,744x = 1,750,911,168,400
  5. Step 5: Solve for x
    x = 1,750,911,168,400/635,744
  6. Step 6: Final answer
    x = 2,754,113.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.