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Finding the Third Proportional to 936,036 and 1,410,669

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Solution

The third proportional to 936,036 and 1,410,669 is: 2,125,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,036 : 1,410,669 = 1,410,669 : x
  2. Step 2: Convert to fraction form
    936,036/1,410,669 = 1,410,669/x
  3. Step 3: Cross multiply
    936,036x = 1,410,669 × 1,410,669
  4. Step 4: Simplify right side
    936,036x = 1,989,987,027,561
  5. Step 5: Solve for x
    x = 1,989,987,027,561/936,036
  6. Step 6: Final answer
    x = 2,125,972.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.