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Finding the Third Proportional to 401,893 and 859,054

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Solution

The third proportional to 401,893 and 859,054 is: 1,836,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,893 : 859,054 = 859,054 : x
  2. Step 2: Convert to fraction form
    401,893/859,054 = 859,054/x
  3. Step 3: Cross multiply
    401,893x = 859,054 × 859,054
  4. Step 4: Simplify right side
    401,893x = 737,973,774,916
  5. Step 5: Solve for x
    x = 737,973,774,916/401,893
  6. Step 6: Final answer
    x = 1,836,244.41

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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.