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Finding the Third Proportional to 385,848 and 835,848

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Solution

The third proportional to 385,848 and 835,848 is: 1,810,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,848 : 835,848 = 835,848 : x
  2. Step 2: Convert to fraction form
    385,848/835,848 = 835,848/x
  3. Step 3: Cross multiply
    385,848x = 835,848 × 835,848
  4. Step 4: Simplify right side
    385,848x = 698,641,879,104
  5. Step 5: Solve for x
    x = 698,641,879,104/385,848
  6. Step 6: Final answer
    x = 1,810,666.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.