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Finding the Third Proportional to 776,907 and 1,697,910.75

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Solution

The third proportional to 776,907 and 1,697,910.75 is: 3,710,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,907 : 1,697,910.75 = 1,697,910.75 : x
  2. Step 2: Convert to fraction form
    776,907/1,697,910.75 = 1,697,910.75/x
  3. Step 3: Cross multiply
    776,907x = 1,697,910.75 × 1,697,910.75
  4. Step 4: Simplify right side
    776,907x = 2,882,900,914,965.56
  5. Step 5: Solve for x
    x = 2,882,900,914,965.56/776,907
  6. Step 6: Final answer
    x = 3,710,741.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.