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Finding the Third Proportional to 648,733 and 1,033,060

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Solution

The third proportional to 648,733 and 1,033,060 is: 1,645,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,733 : 1,033,060 = 1,033,060 : x
  2. Step 2: Convert to fraction form
    648,733/1,033,060 = 1,033,060/x
  3. Step 3: Cross multiply
    648,733x = 1,033,060 × 1,033,060
  4. Step 4: Simplify right side
    648,733x = 1,067,212,963,600
  5. Step 5: Solve for x
    x = 1,067,212,963,600/648,733
  6. Step 6: Final answer
    x = 1,645,072.72

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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.