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Finding the Third Proportional to 826,432 and 1,276,100

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Solution

The third proportional to 826,432 and 1,276,100 is: 1,970,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,432 : 1,276,100 = 1,276,100 : x
  2. Step 2: Convert to fraction form
    826,432/1,276,100 = 1,276,100/x
  3. Step 3: Cross multiply
    826,432x = 1,276,100 × 1,276,100
  4. Step 4: Simplify right side
    826,432x = 1,628,431,210,000
  5. Step 5: Solve for x
    x = 1,628,431,210,000/826,432
  6. Step 6: Final answer
    x = 1,970,435.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.