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Finding the Third Proportional to 441,665 and 953,274

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Solution

The third proportional to 441,665 and 953,274 is: 2,057,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,665 : 953,274 = 953,274 : x
  2. Step 2: Convert to fraction form
    441,665/953,274 = 953,274/x
  3. Step 3: Cross multiply
    441,665x = 953,274 × 953,274
  4. Step 4: Simplify right side
    441,665x = 908,731,319,076
  5. Step 5: Solve for x
    x = 908,731,319,076/441,665
  6. Step 6: Final answer
    x = 2,057,512.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.