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Finding the Third Proportional to 736,683 and 1,039,824

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Solution

The third proportional to 736,683 and 1,039,824 is: 1,467,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,683 : 1,039,824 = 1,039,824 : x
  2. Step 2: Convert to fraction form
    736,683/1,039,824 = 1,039,824/x
  3. Step 3: Cross multiply
    736,683x = 1,039,824 × 1,039,824
  4. Step 4: Simplify right side
    736,683x = 1,081,233,950,976
  5. Step 5: Solve for x
    x = 1,081,233,950,976/736,683
  6. Step 6: Final answer
    x = 1,467,705.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.