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Finding the Third Proportional to 985,857 and 2,098,830

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Solution

The third proportional to 985,857 and 2,098,830 is: 4,468,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,857 : 2,098,830 = 2,098,830 : x
  2. Step 2: Convert to fraction form
    985,857/2,098,830 = 2,098,830/x
  3. Step 3: Cross multiply
    985,857x = 2,098,830 × 2,098,830
  4. Step 4: Simplify right side
    985,857x = 4,405,087,368,900
  5. Step 5: Solve for x
    x = 4,405,087,368,900/985,857
  6. Step 6: Final answer
    x = 4,468,282.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.