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Finding the Third Proportional to 776,738 and 1,667,236

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Solution

The third proportional to 776,738 and 1,667,236 is: 3,578,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,738 : 1,667,236 = 1,667,236 : x
  2. Step 2: Convert to fraction form
    776,738/1,667,236 = 1,667,236/x
  3. Step 3: Cross multiply
    776,738x = 1,667,236 × 1,667,236
  4. Step 4: Simplify right side
    776,738x = 2,779,675,879,696
  5. Step 5: Solve for x
    x = 2,779,675,879,696/776,738
  6. Step 6: Final answer
    x = 3,578,653.14

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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.