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Finding the Third Proportional to 776,865 and 1,694,950

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Solution

The third proportional to 776,865 and 1,694,950 is: 3,698,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,865 : 1,694,950 = 1,694,950 : x
  2. Step 2: Convert to fraction form
    776,865/1,694,950 = 1,694,950/x
  3. Step 3: Cross multiply
    776,865x = 1,694,950 × 1,694,950
  4. Step 4: Simplify right side
    776,865x = 2,872,855,502,500
  5. Step 5: Solve for x
    x = 2,872,855,502,500/776,865
  6. Step 6: Final answer
    x = 3,698,011.24

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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.