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Finding the Third Proportional to 452,758 and 942,722

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Solution

The third proportional to 452,758 and 942,722 is: 1,962,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,758 : 942,722 = 942,722 : x
  2. Step 2: Convert to fraction form
    452,758/942,722 = 942,722/x
  3. Step 3: Cross multiply
    452,758x = 942,722 × 942,722
  4. Step 4: Simplify right side
    452,758x = 888,724,769,284
  5. Step 5: Solve for x
    x = 888,724,769,284/452,758
  6. Step 6: Final answer
    x = 1,962,913.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.