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Finding the Third Proportional to 5,200,980 and 6,902,982

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Solution

The third proportional to 5,200,980 and 6,902,982 is: 9,161,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,980 : 6,902,982 = 6,902,982 : x
  2. Step 2: Convert to fraction form
    5,200,980/6,902,982 = 6,902,982/x
  3. Step 3: Cross multiply
    5,200,980x = 6,902,982 × 6,902,982
  4. Step 4: Simplify right side
    5,200,980x = 47,651,160,492,324
  5. Step 5: Solve for x
    x = 47,651,160,492,324/5,200,980
  6. Step 6: Final answer
    x = 9,161,958.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.