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Finding the Third Proportional to 734,186 and 1,556,500

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Solution

The third proportional to 734,186 and 1,556,500 is: 3,299,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,186 : 1,556,500 = 1,556,500 : x
  2. Step 2: Convert to fraction form
    734,186/1,556,500 = 1,556,500/x
  3. Step 3: Cross multiply
    734,186x = 1,556,500 × 1,556,500
  4. Step 4: Simplify right side
    734,186x = 2,422,692,250,000
  5. Step 5: Solve for x
    x = 2,422,692,250,000/734,186
  6. Step 6: Final answer
    x = 3,299,834.44

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