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Finding the Third Proportional to 751,116 and 1,670,148

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Solution

The third proportional to 751,116 and 1,670,148 is: 3,713,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,116 : 1,670,148 = 1,670,148 : x
  2. Step 2: Convert to fraction form
    751,116/1,670,148 = 1,670,148/x
  3. Step 3: Cross multiply
    751,116x = 1,670,148 × 1,670,148
  4. Step 4: Simplify right side
    751,116x = 2,789,394,341,904
  5. Step 5: Solve for x
    x = 2,789,394,341,904/751,116
  6. Step 6: Final answer
    x = 3,713,666.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.