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Finding the Third Proportional to 984,796 and 2,142,137

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Solution

The third proportional to 984,796 and 2,142,137 is: 4,659,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,796 : 2,142,137 = 2,142,137 : x
  2. Step 2: Convert to fraction form
    984,796/2,142,137 = 2,142,137/x
  3. Step 3: Cross multiply
    984,796x = 2,142,137 × 2,142,137
  4. Step 4: Simplify right side
    984,796x = 4,588,750,926,769
  5. Step 5: Solve for x
    x = 4,588,750,926,769/984,796
  6. Step 6: Final answer
    x = 4,659,595.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.