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Finding the Third Proportional to 2,133,469 and 4,665,454

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Solution

The third proportional to 2,133,469 and 4,665,454 is: 10,202,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,469 : 4,665,454 = 4,665,454 : x
  2. Step 2: Convert to fraction form
    2,133,469/4,665,454 = 4,665,454/x
  3. Step 3: Cross multiply
    2,133,469x = 4,665,454 × 4,665,454
  4. Step 4: Simplify right side
    2,133,469x = 21,766,461,026,116
  5. Step 5: Solve for x
    x = 21,766,461,026,116/2,133,469
  6. Step 6: Final answer
    x = 10,202,379.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.