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Finding the Third Proportional to 851,588 and 1,184,054

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Solution

The third proportional to 851,588 and 1,184,054 is: 1,646,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,588 : 1,184,054 = 1,184,054 : x
  2. Step 2: Convert to fraction form
    851,588/1,184,054 = 1,184,054/x
  3. Step 3: Cross multiply
    851,588x = 1,184,054 × 1,184,054
  4. Step 4: Simplify right side
    851,588x = 1,401,983,874,916
  5. Step 5: Solve for x
    x = 1,401,983,874,916/851,588
  6. Step 6: Final answer
    x = 1,646,317.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.