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Finding the Third Proportional to 638,524 and 1,001,848

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Solution

The third proportional to 638,524 and 1,001,848 is: 1,571,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,524 : 1,001,848 = 1,001,848 : x
  2. Step 2: Convert to fraction form
    638,524/1,001,848 = 1,001,848/x
  3. Step 3: Cross multiply
    638,524x = 1,001,848 × 1,001,848
  4. Step 4: Simplify right side
    638,524x = 1,003,699,415,104
  5. Step 5: Solve for x
    x = 1,003,699,415,104/638,524
  6. Step 6: Final answer
    x = 1,571,905.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.