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Finding the Third Proportional to 2,143,336 and 4,623,194

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Solution

The third proportional to 2,143,336 and 4,623,194 is: 9,972,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,336 : 4,623,194 = 4,623,194 : x
  2. Step 2: Convert to fraction form
    2,143,336/4,623,194 = 4,623,194/x
  3. Step 3: Cross multiply
    2,143,336x = 4,623,194 × 4,623,194
  4. Step 4: Simplify right side
    2,143,336x = 21,373,922,761,636
  5. Step 5: Solve for x
    x = 21,373,922,761,636/2,143,336
  6. Step 6: Final answer
    x = 9,972,268.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.