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Finding the Third Proportional to 489,780,682 and 1,065,650,971

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Solution

The third proportional to 489,780,682 and 1,065,650,971 is: 2,318,613,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,780,682 : 1,065,650,971 = 1,065,650,971 : x
  2. Step 2: Convert to fraction form
    489,780,682/1,065,650,971 = 1,065,650,971/x
  3. Step 3: Cross multiply
    489,780,682x = 1,065,650,971 × 1,065,650,971
  4. Step 4: Simplify right side
    489,780,682x = 1,135,611,991,993,242,880
  5. Step 5: Solve for x
    x = 1,135,611,991,993,242,880/489,780,682
  6. Step 6: Final answer
    x = 2,318,613,276.78

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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.