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Finding the Third Proportional to 2,161,197 and 4,702,938

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Solution

The third proportional to 2,161,197 and 4,702,938 is: 10,233,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,197 : 4,702,938 = 4,702,938 : x
  2. Step 2: Convert to fraction form
    2,161,197/4,702,938 = 4,702,938/x
  3. Step 3: Cross multiply
    2,161,197x = 4,702,938 × 4,702,938
  4. Step 4: Simplify right side
    2,161,197x = 22,117,625,831,844
  5. Step 5: Solve for x
    x = 22,117,625,831,844/2,161,197
  6. Step 6: Final answer
    x = 10,233,970.26

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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.