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Finding the Third Proportional to 2,151,936 and 4,660,128

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Solution

The third proportional to 2,151,936 and 4,660,128 is: 10,091,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151,936 : 4,660,128 = 4,660,128 : x
  2. Step 2: Convert to fraction form
    2,151,936/4,660,128 = 4,660,128/x
  3. Step 3: Cross multiply
    2,151,936x = 4,660,128 × 4,660,128
  4. Step 4: Simplify right side
    2,151,936x = 21,716,792,976,384
  5. Step 5: Solve for x
    x = 21,716,792,976,384/2,151,936
  6. Step 6: Final answer
    x = 10,091,746.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.