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Finding the Third Proportional to 511,097,589 and 1,111,744,242

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Solution

The third proportional to 511,097,589 and 1,111,744,242 is: 2,418,276,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,097,589 : 1,111,744,242 = 1,111,744,242 : x
  2. Step 2: Convert to fraction form
    511,097,589/1,111,744,242 = 1,111,744,242/x
  3. Step 3: Cross multiply
    511,097,589x = 1,111,744,242 × 1,111,744,242
  4. Step 4: Simplify right side
    511,097,589x = 1,235,975,259,620,154,624
  5. Step 5: Solve for x
    x = 1,235,975,259,620,154,624/511,097,589
  6. Step 6: Final answer
    x = 2,418,276,443.13

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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.