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Finding the Third Proportional to 452,640 and 942,472

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Solution

The third proportional to 452,640 and 942,472 is: 1,962,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,640 : 942,472 = 942,472 : x
  2. Step 2: Convert to fraction form
    452,640/942,472 = 942,472/x
  3. Step 3: Cross multiply
    452,640x = 942,472 × 942,472
  4. Step 4: Simplify right side
    452,640x = 888,253,470,784
  5. Step 5: Solve for x
    x = 888,253,470,784/452,640
  6. Step 6: Final answer
    x = 1,962,383.95

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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.