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Finding the Third Proportional to 985,106 and 2,138,350

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Solution

The third proportional to 985,106 and 2,138,350 is: 4,641,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,106 : 2,138,350 = 2,138,350 : x
  2. Step 2: Convert to fraction form
    985,106/2,138,350 = 2,138,350/x
  3. Step 3: Cross multiply
    985,106x = 2,138,350 × 2,138,350
  4. Step 4: Simplify right side
    985,106x = 4,572,540,722,500
  5. Step 5: Solve for x
    x = 4,572,540,722,500/985,106
  6. Step 6: Final answer
    x = 4,641,673.81

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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.