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Finding the Third Proportional to 986,928 and 2,120,704

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Solution

The third proportional to 986,928 and 2,120,704 is: 4,556,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,928 : 2,120,704 = 2,120,704 : x
  2. Step 2: Convert to fraction form
    986,928/2,120,704 = 2,120,704/x
  3. Step 3: Cross multiply
    986,928x = 2,120,704 × 2,120,704
  4. Step 4: Simplify right side
    986,928x = 4,497,385,455,616
  5. Step 5: Solve for x
    x = 4,497,385,455,616/986,928
  6. Step 6: Final answer
    x = 4,556,953.96

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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.