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Finding the Third Proportional to 774,966 and 1,642,119

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Solution

The third proportional to 774,966 and 1,642,119 is: 3,479,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,966 : 1,642,119 = 1,642,119 : x
  2. Step 2: Convert to fraction form
    774,966/1,642,119 = 1,642,119/x
  3. Step 3: Cross multiply
    774,966x = 1,642,119 × 1,642,119
  4. Step 4: Simplify right side
    774,966x = 2,696,554,810,161
  5. Step 5: Solve for x
    x = 2,696,554,810,161/774,966
  6. Step 6: Final answer
    x = 3,479,578.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.