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Finding the Third Proportional to 776,739 and 1,665,366

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Solution

The third proportional to 776,739 and 1,665,366 is: 3,570,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,739 : 1,665,366 = 1,665,366 : x
  2. Step 2: Convert to fraction form
    776,739/1,665,366 = 1,665,366/x
  3. Step 3: Cross multiply
    776,739x = 1,665,366 × 1,665,366
  4. Step 4: Simplify right side
    776,739x = 2,773,443,913,956
  5. Step 5: Solve for x
    x = 2,773,443,913,956/776,739
  6. Step 6: Final answer
    x = 3,570,625.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.