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Finding the Third Proportional to 511,560,144 and 1,125,156,960

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Solution

The third proportional to 511,560,144 and 1,125,156,960 is: 2,474,739,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,560,144 : 1,125,156,960 = 1,125,156,960 : x
  2. Step 2: Convert to fraction form
    511,560,144/1,125,156,960 = 1,125,156,960/x
  3. Step 3: Cross multiply
    511,560,144x = 1,125,156,960 × 1,125,156,960
  4. Step 4: Simplify right side
    511,560,144x = 1,265,978,184,636,441,600
  5. Step 5: Solve for x
    x = 1,265,978,184,636,441,600/511,560,144
  6. Step 6: Final answer
    x = 2,474,739,675.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.