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Finding the Third Proportional to 461,538 and 1,001,800

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Solution

The third proportional to 461,538 and 1,001,800 is: 2,174,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,538 : 1,001,800 = 1,001,800 : x
  2. Step 2: Convert to fraction form
    461,538/1,001,800 = 1,001,800/x
  3. Step 3: Cross multiply
    461,538x = 1,001,800 × 1,001,800
  4. Step 4: Simplify right side
    461,538x = 1,003,603,240,000
  5. Step 5: Solve for x
    x = 1,003,603,240,000/461,538
  6. Step 6: Final answer
    x = 2,174,475.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.