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Finding the Third Proportional to 767,544,024 and 1,093,905,828

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Solution

The third proportional to 767,544,024 and 1,093,905,828 is: 1,559,037,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,544,024 : 1,093,905,828 = 1,093,905,828 : x
  2. Step 2: Convert to fraction form
    767,544,024/1,093,905,828 = 1,093,905,828/x
  3. Step 3: Cross multiply
    767,544,024x = 1,093,905,828 × 1,093,905,828
  4. Step 4: Simplify right side
    767,544,024x = 1,196,629,960,532,365,568
  5. Step 5: Solve for x
    x = 1,196,629,960,532,365,568/767,544,024
  6. Step 6: Final answer
    x = 1,559,037,557.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.