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Finding the Third Proportional to 431,036 and 936,682

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Solution

The third proportional to 431,036 and 936,682 is: 2,035,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,036 : 936,682 = 936,682 : x
  2. Step 2: Convert to fraction form
    431,036/936,682 = 936,682/x
  3. Step 3: Cross multiply
    431,036x = 936,682 × 936,682
  4. Step 4: Simplify right side
    431,036x = 877,373,169,124
  5. Step 5: Solve for x
    x = 877,373,169,124/431,036
  6. Step 6: Final answer
    x = 2,035,498.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.