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Finding the Third Proportional to 986,924 and 2,120,696

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Solution

The third proportional to 986,924 and 2,120,696 is: 4,556,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,924 : 2,120,696 = 2,120,696 : x
  2. Step 2: Convert to fraction form
    986,924/2,120,696 = 2,120,696/x
  3. Step 3: Cross multiply
    986,924x = 2,120,696 × 2,120,696
  4. Step 4: Simplify right side
    986,924x = 4,497,351,524,416
  5. Step 5: Solve for x
    x = 4,497,351,524,416/986,924
  6. Step 6: Final answer
    x = 4,556,938.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.