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Finding the Third Proportional to 776,907 and 1,607,760

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Solution

The third proportional to 776,907 and 1,607,760 is: 3,327,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,907 : 1,607,760 = 1,607,760 : x
  2. Step 2: Convert to fraction form
    776,907/1,607,760 = 1,607,760/x
  3. Step 3: Cross multiply
    776,907x = 1,607,760 × 1,607,760
  4. Step 4: Simplify right side
    776,907x = 2,584,892,217,600
  5. Step 5: Solve for x
    x = 2,584,892,217,600/776,907
  6. Step 6: Final answer
    x = 3,327,157.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.