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Finding the Third Proportional to 942,420 and 1,964,328

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Solution

The third proportional to 942,420 and 1,964,328 is: 4,094,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,420 : 1,964,328 = 1,964,328 : x
  2. Step 2: Convert to fraction form
    942,420/1,964,328 = 1,964,328/x
  3. Step 3: Cross multiply
    942,420x = 1,964,328 × 1,964,328
  4. Step 4: Simplify right side
    942,420x = 3,858,584,491,584
  5. Step 5: Solve for x
    x = 3,858,584,491,584/942,420
  6. Step 6: Final answer
    x = 4,094,336.38

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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.