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Finding the Third Proportional to 936,831 and 1,402,686

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Solution

The third proportional to 936,831 and 1,402,686 is: 2,100,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,831 : 1,402,686 = 1,402,686 : x
  2. Step 2: Convert to fraction form
    936,831/1,402,686 = 1,402,686/x
  3. Step 3: Cross multiply
    936,831x = 1,402,686 × 1,402,686
  4. Step 4: Simplify right side
    936,831x = 1,967,528,014,596
  5. Step 5: Solve for x
    x = 1,967,528,014,596/936,831
  6. Step 6: Final answer
    x = 2,100,195.25

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