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Finding the Third Proportional to 874,901 and 1,876,648

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Solution

The third proportional to 874,901 and 1,876,648 is: 4,025,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,901 : 1,876,648 = 1,876,648 : x
  2. Step 2: Convert to fraction form
    874,901/1,876,648 = 1,876,648/x
  3. Step 3: Cross multiply
    874,901x = 1,876,648 × 1,876,648
  4. Step 4: Simplify right side
    874,901x = 3,521,807,715,904
  5. Step 5: Solve for x
    x = 3,521,807,715,904/874,901
  6. Step 6: Final answer
    x = 4,025,378.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.