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Finding the Third Proportional to 437,924 and 943,392

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Solution

The third proportional to 437,924 and 943,392 is: 2,032,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,924 : 943,392 = 943,392 : x
  2. Step 2: Convert to fraction form
    437,924/943,392 = 943,392/x
  3. Step 3: Cross multiply
    437,924x = 943,392 × 943,392
  4. Step 4: Simplify right side
    437,924x = 889,988,465,664
  5. Step 5: Solve for x
    x = 889,988,465,664/437,924
  6. Step 6: Final answer
    x = 2,032,289.77

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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.