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Finding the Third Proportional to 491,910 and 1,075,794

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Solution

The third proportional to 491,910 and 1,075,794 is: 2,352,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,910 : 1,075,794 = 1,075,794 : x
  2. Step 2: Convert to fraction form
    491,910/1,075,794 = 1,075,794/x
  3. Step 3: Cross multiply
    491,910x = 1,075,794 × 1,075,794
  4. Step 4: Simplify right side
    491,910x = 1,157,332,730,436
  5. Step 5: Solve for x
    x = 1,157,332,730,436/491,910
  6. Step 6: Final answer
    x = 2,352,732.68

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