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Finding the Third Proportional to 733,997 and 1,556,200

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Solution

The third proportional to 733,997 and 1,556,200 is: 3,299,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,997 : 1,556,200 = 1,556,200 : x
  2. Step 2: Convert to fraction form
    733,997/1,556,200 = 1,556,200/x
  3. Step 3: Cross multiply
    733,997x = 1,556,200 × 1,556,200
  4. Step 4: Simplify right side
    733,997x = 2,421,758,440,000
  5. Step 5: Solve for x
    x = 2,421,758,440,000/733,997
  6. Step 6: Final answer
    x = 3,299,411.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.