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Finding the Third Proportional to 856,317 and 1,865,198

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Solution

The third proportional to 856,317 and 1,865,198 is: 4,062,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,317 : 1,865,198 = 1,865,198 : x
  2. Step 2: Convert to fraction form
    856,317/1,865,198 = 1,865,198/x
  3. Step 3: Cross multiply
    856,317x = 1,865,198 × 1,865,198
  4. Step 4: Simplify right side
    856,317x = 3,478,963,579,204
  5. Step 5: Solve for x
    x = 3,478,963,579,204/856,317
  6. Step 6: Final answer
    x = 4,062,705.26

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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.