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Finding the Third Proportional to 776,181 and 1,670,396

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Solution

The third proportional to 776,181 and 1,670,396 is: 3,594,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,181 : 1,670,396 = 1,670,396 : x
  2. Step 2: Convert to fraction form
    776,181/1,670,396 = 1,670,396/x
  3. Step 3: Cross multiply
    776,181x = 1,670,396 × 1,670,396
  4. Step 4: Simplify right side
    776,181x = 2,790,222,796,816
  5. Step 5: Solve for x
    x = 2,790,222,796,816/776,181
  6. Step 6: Final answer
    x = 3,594,809.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.