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Finding the Third Proportional to 442,434 and 942,780

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Solution

The third proportional to 442,434 and 942,780 is: 2,008,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,434 : 942,780 = 942,780 : x
  2. Step 2: Convert to fraction form
    442,434/942,780 = 942,780/x
  3. Step 3: Cross multiply
    442,434x = 942,780 × 942,780
  4. Step 4: Simplify right side
    442,434x = 888,834,128,400
  5. Step 5: Solve for x
    x = 888,834,128,400/442,434
  6. Step 6: Final answer
    x = 2,008,964.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.