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Finding the Third Proportional to 827,980 and 1,246,062

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Solution

The third proportional to 827,980 and 1,246,062 is: 1,875,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,980 : 1,246,062 = 1,246,062 : x
  2. Step 2: Convert to fraction form
    827,980/1,246,062 = 1,246,062/x
  3. Step 3: Cross multiply
    827,980x = 1,246,062 × 1,246,062
  4. Step 4: Simplify right side
    827,980x = 1,552,670,507,844
  5. Step 5: Solve for x
    x = 1,552,670,507,844/827,980
  6. Step 6: Final answer
    x = 1,875,251.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.