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Finding the Third Proportional to 491,910.75 and 1,075,797

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Solution

The third proportional to 491,910.75 and 1,075,797 is: 2,352,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,910.75 : 1,075,797 = 1,075,797 : x
  2. Step 2: Convert to fraction form
    491,910.75/1,075,797 = 1,075,797/x
  3. Step 3: Cross multiply
    491,910.75x = 1,075,797 × 1,075,797
  4. Step 4: Simplify right side
    491,910.75x = 1,157,339,185,209
  5. Step 5: Solve for x
    x = 1,157,339,185,209/491,910.75
  6. Step 6: Final answer
    x = 2,352,742.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.