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Finding the Third Proportional to 489,769,976.25 and 1,065,630,114

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Solution

The third proportional to 489,769,976.25 and 1,065,630,114 is: 2,318,573,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,769,976.25 : 1,065,630,114 = 1,065,630,114 : x
  2. Step 2: Convert to fraction form
    489,769,976.25/1,065,630,114 = 1,065,630,114/x
  3. Step 3: Cross multiply
    489,769,976.25x = 1,065,630,114 × 1,065,630,114
  4. Step 4: Simplify right side
    489,769,976.25x = 1,135,567,539,863,652,992
  5. Step 5: Solve for x
    x = 1,135,567,539,863,652,992/489,769,976.25
  6. Step 6: Final answer
    x = 2,318,573,197.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.