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Finding the Third Proportional to 1,082,766 and 1,513,728

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Solution

The third proportional to 1,082,766 and 1,513,728 is: 2,116,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,766 : 1,513,728 = 1,513,728 : x
  2. Step 2: Convert to fraction form
    1,082,766/1,513,728 = 1,513,728/x
  3. Step 3: Cross multiply
    1,082,766x = 1,513,728 × 1,513,728
  4. Step 4: Simplify right side
    1,082,766x = 2,291,372,457,984
  5. Step 5: Solve for x
    x = 2,291,372,457,984/1,082,766
  6. Step 6: Final answer
    x = 2,116,221.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.