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Finding the Third Proportional to 776,862 and 1,694,970

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Solution

The third proportional to 776,862 and 1,694,970 is: 3,698,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,862 : 1,694,970 = 1,694,970 : x
  2. Step 2: Convert to fraction form
    776,862/1,694,970 = 1,694,970/x
  3. Step 3: Cross multiply
    776,862x = 1,694,970 × 1,694,970
  4. Step 4: Simplify right side
    776,862x = 2,872,923,300,900
  5. Step 5: Solve for x
    x = 2,872,923,300,900/776,862
  6. Step 6: Final answer
    x = 3,698,112.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.