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Finding the Third Proportional to 433,901 and 942,439

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Solution

The third proportional to 433,901 and 942,439 is: 2,046,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,901 : 942,439 = 942,439 : x
  2. Step 2: Convert to fraction form
    433,901/942,439 = 942,439/x
  3. Step 3: Cross multiply
    433,901x = 942,439 × 942,439
  4. Step 4: Simplify right side
    433,901x = 888,191,268,721
  5. Step 5: Solve for x
    x = 888,191,268,721/433,901
  6. Step 6: Final answer
    x = 2,046,990.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.