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Finding the Third Proportional to 857,379.94 and 1,315,718.44

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Solution

The third proportional to 857,379.94 and 1,315,718.44 is: 2,019,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,379.94 : 1,315,718.44 = 1,315,718.44 : x
  2. Step 2: Convert to fraction form
    857,379.94/1,315,718.44 = 1,315,718.44/x
  3. Step 3: Cross multiply
    857,379.94x = 1,315,718.44 × 1,315,718.44
  4. Step 4: Simplify right side
    857,379.94x = 1,731,115,006,777.44
  5. Step 5: Solve for x
    x = 1,731,115,006,777.44/857,379.94
  6. Step 6: Final answer
    x = 2,019,075.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.