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Finding the Third Proportional to 5,200,972 and 6,902,964

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Solution

The third proportional to 5,200,972 and 6,902,964 is: 9,161,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,972 : 6,902,964 = 6,902,964 : x
  2. Step 2: Convert to fraction form
    5,200,972/6,902,964 = 6,902,964/x
  3. Step 3: Cross multiply
    5,200,972x = 6,902,964 × 6,902,964
  4. Step 4: Simplify right side
    5,200,972x = 47,650,911,985,296
  5. Step 5: Solve for x
    x = 47,650,911,985,296/5,200,972
  6. Step 6: Final answer
    x = 9,161,924.35

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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.