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Finding the Third Proportional to 489,780,657 and 1,065,650,922

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Solution

The third proportional to 489,780,657 and 1,065,650,922 is: 2,318,613,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,780,657 : 1,065,650,922 = 1,065,650,922 : x
  2. Step 2: Convert to fraction form
    489,780,657/1,065,650,922 = 1,065,650,922/x
  3. Step 3: Cross multiply
    489,780,657x = 1,065,650,922 × 1,065,650,922
  4. Step 4: Simplify right side
    489,780,657x = 1,135,611,887,559,450,112
  5. Step 5: Solve for x
    x = 1,135,611,887,559,450,112/489,780,657
  6. Step 6: Final answer
    x = 2,318,613,181.90

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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.