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Finding the Third Proportional to 693,734 and 1,505,395

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Solution

The third proportional to 693,734 and 1,505,395 is: 3,266,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,734 : 1,505,395 = 1,505,395 : x
  2. Step 2: Convert to fraction form
    693,734/1,505,395 = 1,505,395/x
  3. Step 3: Cross multiply
    693,734x = 1,505,395 × 1,505,395
  4. Step 4: Simplify right side
    693,734x = 2,266,214,106,025
  5. Step 5: Solve for x
    x = 2,266,214,106,025/693,734
  6. Step 6: Final answer
    x = 3,266,690.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.