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Finding the Third Proportional to 774,249 and 1,670,958

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Solution

The third proportional to 774,249 and 1,670,958 is: 3,606,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,249 : 1,670,958 = 1,670,958 : x
  2. Step 2: Convert to fraction form
    774,249/1,670,958 = 1,670,958/x
  3. Step 3: Cross multiply
    774,249x = 1,670,958 × 1,670,958
  4. Step 4: Simplify right side
    774,249x = 2,792,100,637,764
  5. Step 5: Solve for x
    x = 2,792,100,637,764/774,249
  6. Step 6: Final answer
    x = 3,606,205.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.