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Finding the Third Proportional to 595,692 and 1,296,456

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Solution

The third proportional to 595,692 and 1,296,456 is: 2,821,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,692 : 1,296,456 = 1,296,456 : x
  2. Step 2: Convert to fraction form
    595,692/1,296,456 = 1,296,456/x
  3. Step 3: Cross multiply
    595,692x = 1,296,456 × 1,296,456
  4. Step 4: Simplify right side
    595,692x = 1,680,798,159,936
  5. Step 5: Solve for x
    x = 1,680,798,159,936/595,692
  6. Step 6: Final answer
    x = 2,821,589.28

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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.