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Finding the Third Proportional to 998,338 and 1,630,027.50

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Solution

The third proportional to 998,338 and 1,630,027.50 is: 2,661,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,338 : 1,630,027.50 = 1,630,027.50 : x
  2. Step 2: Convert to fraction form
    998,338/1,630,027.50 = 1,630,027.50/x
  3. Step 3: Cross multiply
    998,338x = 1,630,027.50 × 1,630,027.50
  4. Step 4: Simplify right side
    998,338x = 2,656,989,650,756.25
  5. Step 5: Solve for x
    x = 2,656,989,650,756.25/998,338
  6. Step 6: Final answer
    x = 2,661,412.92

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.