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Finding the Third Proportional to 826,276 and 1,751,750

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Solution

The third proportional to 826,276 and 1,751,750 is: 3,713,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,276 : 1,751,750 = 1,751,750 : x
  2. Step 2: Convert to fraction form
    826,276/1,751,750 = 1,751,750/x
  3. Step 3: Cross multiply
    826,276x = 1,751,750 × 1,751,750
  4. Step 4: Simplify right side
    826,276x = 3,068,628,062,500
  5. Step 5: Solve for x
    x = 3,068,628,062,500/826,276
  6. Step 6: Final answer
    x = 3,713,805.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.