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Finding the Third Proportional to 648,736 and 1,033,062

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Solution

The third proportional to 648,736 and 1,033,062 is: 1,645,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,736 : 1,033,062 = 1,033,062 : x
  2. Step 2: Convert to fraction form
    648,736/1,033,062 = 1,033,062/x
  3. Step 3: Cross multiply
    648,736x = 1,033,062 × 1,033,062
  4. Step 4: Simplify right side
    648,736x = 1,067,217,095,844
  5. Step 5: Solve for x
    x = 1,067,217,095,844/648,736
  6. Step 6: Final answer
    x = 1,645,071.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.