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Finding the Third Proportional to 437,854 and 943,253

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Solution

The third proportional to 437,854 and 943,253 is: 2,032,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,854 : 943,253 = 943,253 : x
  2. Step 2: Convert to fraction form
    437,854/943,253 = 943,253/x
  3. Step 3: Cross multiply
    437,854x = 943,253 × 943,253
  4. Step 4: Simplify right side
    437,854x = 889,726,222,009
  5. Step 5: Solve for x
    x = 889,726,222,009/437,854
  6. Step 6: Final answer
    x = 2,032,015.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.