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Finding the Third Proportional to 874,856 and 1,370,604

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Solution

The third proportional to 874,856 and 1,370,604 is: 2,147,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,856 : 1,370,604 = 1,370,604 : x
  2. Step 2: Convert to fraction form
    874,856/1,370,604 = 1,370,604/x
  3. Step 3: Cross multiply
    874,856x = 1,370,604 × 1,370,604
  4. Step 4: Simplify right side
    874,856x = 1,878,555,324,816
  5. Step 5: Solve for x
    x = 1,878,555,324,816/874,856
  6. Step 6: Final answer
    x = 2,147,273.75

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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.