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Finding the Third Proportional to 2,138,022 and 4,610,232

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Solution

The third proportional to 2,138,022 and 4,610,232 is: 9,941,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,022 : 4,610,232 = 4,610,232 : x
  2. Step 2: Convert to fraction form
    2,138,022/4,610,232 = 4,610,232/x
  3. Step 3: Cross multiply
    2,138,022x = 4,610,232 × 4,610,232
  4. Step 4: Simplify right side
    2,138,022x = 21,254,239,093,824
  5. Step 5: Solve for x
    x = 21,254,239,093,824/2,138,022
  6. Step 6: Final answer
    x = 9,941,075.95

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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.