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Finding the Third Proportional to 2,141,738 and 4,656,718

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Solution

The third proportional to 2,141,738 and 4,656,718 is: 10,124,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,738 : 4,656,718 = 4,656,718 : x
  2. Step 2: Convert to fraction form
    2,141,738/4,656,718 = 4,656,718/x
  3. Step 3: Cross multiply
    2,141,738x = 4,656,718 × 4,656,718
  4. Step 4: Simplify right side
    2,141,738x = 21,685,022,531,524
  5. Step 5: Solve for x
    x = 21,685,022,531,524/2,141,738
  6. Step 6: Final answer
    x = 10,124,965.11

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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.