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Finding the Third Proportional to 431,051 and 936,718

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Solution

The third proportional to 431,051 and 936,718 is: 2,035,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,051 : 936,718 = 936,718 : x
  2. Step 2: Convert to fraction form
    431,051/936,718 = 936,718/x
  3. Step 3: Cross multiply
    431,051x = 936,718 × 936,718
  4. Step 4: Simplify right side
    431,051x = 877,440,611,524
  5. Step 5: Solve for x
    x = 877,440,611,524/431,051
  6. Step 6: Final answer
    x = 2,035,584.22

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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.