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Finding the Third Proportional to 1,164,483 and 2,546,199

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Solution

The third proportional to 1,164,483 and 2,546,199 is: 5,567,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,483 : 2,546,199 = 2,546,199 : x
  2. Step 2: Convert to fraction form
    1,164,483/2,546,199 = 2,546,199/x
  3. Step 3: Cross multiply
    1,164,483x = 2,546,199 × 2,546,199
  4. Step 4: Simplify right side
    1,164,483x = 6,483,129,347,601
  5. Step 5: Solve for x
    x = 6,483,129,347,601/1,164,483
  6. Step 6: Final answer
    x = 5,567,388.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.