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Finding the Third Proportional to 751,814 and 1,774,148

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Solution

The third proportional to 751,814 and 1,774,148 is: 4,186,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,814 : 1,774,148 = 1,774,148 : x
  2. Step 2: Convert to fraction form
    751,814/1,774,148 = 1,774,148/x
  3. Step 3: Cross multiply
    751,814x = 1,774,148 × 1,774,148
  4. Step 4: Simplify right side
    751,814x = 3,147,601,125,904
  5. Step 5: Solve for x
    x = 3,147,601,125,904/751,814
  6. Step 6: Final answer
    x = 4,186,675.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.