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Finding the Third Proportional to 756,864 and 1,052,352

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Solution

The third proportional to 756,864 and 1,052,352 is: 1,463,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,864 : 1,052,352 = 1,052,352 : x
  2. Step 2: Convert to fraction form
    756,864/1,052,352 = 1,052,352/x
  3. Step 3: Cross multiply
    756,864x = 1,052,352 × 1,052,352
  4. Step 4: Simplify right side
    756,864x = 1,107,444,731,904
  5. Step 5: Solve for x
    x = 1,107,444,731,904/756,864
  6. Step 6: Final answer
    x = 1,463,201.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.