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Finding the Third Proportional to 985,102 and 2,122,141

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Solution

The third proportional to 985,102 and 2,122,141 is: 4,571,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,102 : 2,122,141 = 2,122,141 : x
  2. Step 2: Convert to fraction form
    985,102/2,122,141 = 2,122,141/x
  3. Step 3: Cross multiply
    985,102x = 2,122,141 × 2,122,141
  4. Step 4: Simplify right side
    985,102x = 4,503,482,423,881
  5. Step 5: Solve for x
    x = 4,503,482,423,881/985,102
  6. Step 6: Final answer
    x = 4,571,589.97

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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.