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Finding the Third Proportional to 461,703 and 960,099

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Solution

The third proportional to 461,703 and 960,099 is: 1,996,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,703 : 960,099 = 960,099 : x
  2. Step 2: Convert to fraction form
    461,703/960,099 = 960,099/x
  3. Step 3: Cross multiply
    461,703x = 960,099 × 960,099
  4. Step 4: Simplify right side
    461,703x = 921,790,089,801
  5. Step 5: Solve for x
    x = 921,790,089,801/461,703
  6. Step 6: Final answer
    x = 1,996,500.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.