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Finding the Third Proportional to 595,505 and 1,295,977

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Solution

The third proportional to 595,505 and 1,295,977 is: 2,820,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,505 : 1,295,977 = 1,295,977 : x
  2. Step 2: Convert to fraction form
    595,505/1,295,977 = 1,295,977/x
  3. Step 3: Cross multiply
    595,505x = 1,295,977 × 1,295,977
  4. Step 4: Simplify right side
    595,505x = 1,679,556,384,529
  5. Step 5: Solve for x
    x = 1,679,556,384,529/595,505
  6. Step 6: Final answer
    x = 2,820,390.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.