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Finding the Third Proportional to 3,211,722 and 4,696,971

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Solution

The third proportional to 3,211,722 and 4,696,971 is: 6,869,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,722 : 4,696,971 = 4,696,971 : x
  2. Step 2: Convert to fraction form
    3,211,722/4,696,971 = 4,696,971/x
  3. Step 3: Cross multiply
    3,211,722x = 4,696,971 × 4,696,971
  4. Step 4: Simplify right side
    3,211,722x = 22,061,536,574,841
  5. Step 5: Solve for x
    x = 22,061,536,574,841/3,211,722
  6. Step 6: Final answer
    x = 6,869,067.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.