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Finding the Third Proportional to 783,616 and 1,163,904

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Solution

The third proportional to 783,616 and 1,163,904 is: 1,728,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,616 : 1,163,904 = 1,163,904 : x
  2. Step 2: Convert to fraction form
    783,616/1,163,904 = 1,163,904/x
  3. Step 3: Cross multiply
    783,616x = 1,163,904 × 1,163,904
  4. Step 4: Simplify right side
    783,616x = 1,354,672,521,216
  5. Step 5: Solve for x
    x = 1,354,672,521,216/783,616
  6. Step 6: Final answer
    x = 1,728,745.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.