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Finding the Third Proportional to 874,944 and 1,370,736

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Solution

The third proportional to 874,944 and 1,370,736 is: 2,147,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,944 : 1,370,736 = 1,370,736 : x
  2. Step 2: Convert to fraction form
    874,944/1,370,736 = 1,370,736/x
  3. Step 3: Cross multiply
    874,944x = 1,370,736 × 1,370,736
  4. Step 4: Simplify right side
    874,944x = 1,878,917,181,696
  5. Step 5: Solve for x
    x = 1,878,917,181,696/874,944
  6. Step 6: Final answer
    x = 2,147,471.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.