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Finding the Third Proportional to 693,740 and 1,505,407

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Solution

The third proportional to 693,740 and 1,505,407 is: 3,266,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,740 : 1,505,407 = 1,505,407 : x
  2. Step 2: Convert to fraction form
    693,740/1,505,407 = 1,505,407/x
  3. Step 3: Cross multiply
    693,740x = 1,505,407 × 1,505,407
  4. Step 4: Simplify right side
    693,740x = 2,266,250,235,649
  5. Step 5: Solve for x
    x = 2,266,250,235,649/693,740
  6. Step 6: Final answer
    x = 3,266,714.09

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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.