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Finding the Third Proportional to 2,147,617 and 4,631,477

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Solution

The third proportional to 2,147,617 and 4,631,477 is: 9,988,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,617 : 4,631,477 = 4,631,477 : x
  2. Step 2: Convert to fraction form
    2,147,617/4,631,477 = 4,631,477/x
  3. Step 3: Cross multiply
    2,147,617x = 4,631,477 × 4,631,477
  4. Step 4: Simplify right side
    2,147,617x = 21,450,579,201,529
  5. Step 5: Solve for x
    x = 21,450,579,201,529/2,147,617
  6. Step 6: Final answer
    x = 9,988,084.10

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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.