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Finding the Third Proportional to 751,128 and 1,670,172

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Solution

The third proportional to 751,128 and 1,670,172 is: 3,713,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,128 : 1,670,172 = 1,670,172 : x
  2. Step 2: Convert to fraction form
    751,128/1,670,172 = 1,670,172/x
  3. Step 3: Cross multiply
    751,128x = 1,670,172 × 1,670,172
  4. Step 4: Simplify right side
    751,128x = 2,789,474,509,584
  5. Step 5: Solve for x
    x = 2,789,474,509,584/751,128
  6. Step 6: Final answer
    x = 3,713,713.92

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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.