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Finding the Third Proportional to 776,909 and 1,607,764

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Solution

The third proportional to 776,909 and 1,607,764 is: 3,327,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,909 : 1,607,764 = 1,607,764 : x
  2. Step 2: Convert to fraction form
    776,909/1,607,764 = 1,607,764/x
  3. Step 3: Cross multiply
    776,909x = 1,607,764 × 1,607,764
  4. Step 4: Simplify right side
    776,909x = 2,584,905,079,696
  5. Step 5: Solve for x
    x = 2,584,905,079,696/776,909
  6. Step 6: Final answer
    x = 3,327,165.83

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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.