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Finding the Third Proportional to 638,816 and 1,064,736

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Solution

The third proportional to 638,816 and 1,064,736 is: 1,774,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,816 : 1,064,736 = 1,064,736 : x
  2. Step 2: Convert to fraction form
    638,816/1,064,736 = 1,064,736/x
  3. Step 3: Cross multiply
    638,816x = 1,064,736 × 1,064,736
  4. Step 4: Simplify right side
    638,816x = 1,133,662,749,696
  5. Step 5: Solve for x
    x = 1,133,662,749,696/638,816
  6. Step 6: Final answer
    x = 1,774,631.11

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.