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Finding the Third Proportional to 794,740 and 1,703,114

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Solution

The third proportional to 794,740 and 1,703,114 is: 3,649,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,740 : 1,703,114 = 1,703,114 : x
  2. Step 2: Convert to fraction form
    794,740/1,703,114 = 1,703,114/x
  3. Step 3: Cross multiply
    794,740x = 1,703,114 × 1,703,114
  4. Step 4: Simplify right side
    794,740x = 2,900,597,296,996
  5. Step 5: Solve for x
    x = 2,900,597,296,996/794,740
  6. Step 6: Final answer
    x = 3,649,743.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.