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Finding the Third Proportional to 648,768 and 1,033,104

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Solution

The third proportional to 648,768 and 1,033,104 is: 1,645,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,768 : 1,033,104 = 1,033,104 : x
  2. Step 2: Convert to fraction form
    648,768/1,033,104 = 1,033,104/x
  3. Step 3: Cross multiply
    648,768x = 1,033,104 × 1,033,104
  4. Step 4: Simplify right side
    648,768x = 1,067,303,874,816
  5. Step 5: Solve for x
    x = 1,067,303,874,816/648,768
  6. Step 6: Final answer
    x = 1,645,124.10

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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.