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Finding the Third Proportional to 783,628 and 1,082,796

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Solution

The third proportional to 783,628 and 1,082,796 is: 1,496,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,628 : 1,082,796 = 1,082,796 : x
  2. Step 2: Convert to fraction form
    783,628/1,082,796 = 1,082,796/x
  3. Step 3: Cross multiply
    783,628x = 1,082,796 × 1,082,796
  4. Step 4: Simplify right side
    783,628x = 1,172,447,177,616
  5. Step 5: Solve for x
    x = 1,172,447,177,616/783,628
  6. Step 6: Final answer
    x = 1,496,178.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.