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Finding the Third Proportional to 2,161,188 and 4,702,920

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Solution

The third proportional to 2,161,188 and 4,702,920 is: 10,233,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,188 : 4,702,920 = 4,702,920 : x
  2. Step 2: Convert to fraction form
    2,161,188/4,702,920 = 4,702,920/x
  3. Step 3: Cross multiply
    2,161,188x = 4,702,920 × 4,702,920
  4. Step 4: Simplify right side
    2,161,188x = 22,117,456,526,400
  5. Step 5: Solve for x
    x = 22,117,456,526,400/2,161,188
  6. Step 6: Final answer
    x = 10,233,934.54

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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.