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Finding the Third Proportional to 2,161,201 and 4,702,946

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Solution

The third proportional to 2,161,201 and 4,702,946 is: 10,233,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,201 : 4,702,946 = 4,702,946 : x
  2. Step 2: Convert to fraction form
    2,161,201/4,702,946 = 4,702,946/x
  3. Step 3: Cross multiply
    2,161,201x = 4,702,946 × 4,702,946
  4. Step 4: Simplify right side
    2,161,201x = 22,117,701,078,916
  5. Step 5: Solve for x
    x = 22,117,701,078,916/2,161,201
  6. Step 6: Final answer
    x = 10,233,986.14

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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.