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Finding the Third Proportional to 946,665 and 2,066,805

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Solution

The third proportional to 946,665 and 2,066,805 is: 4,512,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,665 : 2,066,805 = 2,066,805 : x
  2. Step 2: Convert to fraction form
    946,665/2,066,805 = 2,066,805/x
  3. Step 3: Cross multiply
    946,665x = 2,066,805 × 2,066,805
  4. Step 4: Simplify right side
    946,665x = 4,271,682,908,025
  5. Step 5: Solve for x
    x = 4,271,682,908,025/946,665
  6. Step 6: Final answer
    x = 4,512,349.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.