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Finding the Third Proportional to 1,001,538 and 2,122,267.50

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Solution

The third proportional to 1,001,538 and 2,122,267.50 is: 4,497,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,538 : 2,122,267.50 = 2,122,267.50 : x
  2. Step 2: Convert to fraction form
    1,001,538/2,122,267.50 = 2,122,267.50/x
  3. Step 3: Cross multiply
    1,001,538x = 2,122,267.50 × 2,122,267.50
  4. Step 4: Simplify right side
    1,001,538x = 4,504,019,341,556.25
  5. Step 5: Solve for x
    x = 4,504,019,341,556.25/1,001,538
  6. Step 6: Final answer
    x = 4,497,102.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.