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Finding the Third Proportional to 753,048 and 1,468,256

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Solution

The third proportional to 753,048 and 1,468,256 is: 2,862,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,048 : 1,468,256 = 1,468,256 : x
  2. Step 2: Convert to fraction form
    753,048/1,468,256 = 1,468,256/x
  3. Step 3: Cross multiply
    753,048x = 1,468,256 × 1,468,256
  4. Step 4: Simplify right side
    753,048x = 2,155,775,681,536
  5. Step 5: Solve for x
    x = 2,155,775,681,536/753,048
  6. Step 6: Final answer
    x = 2,862,733.43

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.