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Finding the Third Proportional to 490,049 and 789,476

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Solution

The third proportional to 490,049 and 789,476 is: 1,271,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,049 : 789,476 = 789,476 : x
  2. Step 2: Convert to fraction form
    490,049/789,476 = 789,476/x
  3. Step 3: Cross multiply
    490,049x = 789,476 × 789,476
  4. Step 4: Simplify right side
    490,049x = 623,272,354,576
  5. Step 5: Solve for x
    x = 623,272,354,576/490,049
  6. Step 6: Final answer
    x = 1,271,857.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.