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Finding the Third Proportional to 1,848,464 and 3,971,968

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Solution

The third proportional to 1,848,464 and 3,971,968 is: 8,534,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848,464 : 3,971,968 = 3,971,968 : x
  2. Step 2: Convert to fraction form
    1,848,464/3,971,968 = 3,971,968/x
  3. Step 3: Cross multiply
    1,848,464x = 3,971,968 × 3,971,968
  4. Step 4: Simplify right side
    1,848,464x = 15,776,529,793,024
  5. Step 5: Solve for x
    x = 15,776,529,793,024/1,848,464
  6. Step 6: Final answer
    x = 8,534,940.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.