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Finding the Third Proportional to 1,205,519 and 1,823,776.75

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Solution

The third proportional to 1,205,519 and 1,823,776.75 is: 2,759,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,519 : 1,823,776.75 = 1,823,776.75 : x
  2. Step 2: Convert to fraction form
    1,205,519/1,823,776.75 = 1,823,776.75/x
  3. Step 3: Cross multiply
    1,205,519x = 1,823,776.75 × 1,823,776.75
  4. Step 4: Simplify right side
    1,205,519x = 3,326,161,633,840.56
  5. Step 5: Solve for x
    x = 3,326,161,633,840.56/1,205,519
  6. Step 6: Final answer
    x = 2,759,111.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.