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Finding the Third Proportional to 692,945,734 and 941,395,803

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Solution

The third proportional to 692,945,734 and 941,395,803 is: 1,278,925,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,945,734 : 941,395,803 = 941,395,803 : x
  2. Step 2: Convert to fraction form
    692,945,734/941,395,803 = 941,395,803/x
  3. Step 3: Cross multiply
    692,945,734x = 941,395,803 × 941,395,803
  4. Step 4: Simplify right side
    692,945,734x = 886,226,057,906,014,848
  5. Step 5: Solve for x
    x = 886,226,057,906,014,848/692,945,734
  6. Step 6: Final answer
    x = 1,278,925,627.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.