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Finding the Third Proportional to 437,885 and 943,297

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Solution

The third proportional to 437,885 and 943,297 is: 2,032,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,885 : 943,297 = 943,297 : x
  2. Step 2: Convert to fraction form
    437,885/943,297 = 943,297/x
  3. Step 3: Cross multiply
    437,885x = 943,297 × 943,297
  4. Step 4: Simplify right side
    437,885x = 889,809,230,209
  5. Step 5: Solve for x
    x = 889,809,230,209/437,885
  6. Step 6: Final answer
    x = 2,032,061.45

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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.