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Finding the Third Proportional to 595,012 and 906,476

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Solution

The third proportional to 595,012 and 906,476 is: 1,380,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,012 : 906,476 = 906,476 : x
  2. Step 2: Convert to fraction form
    595,012/906,476 = 906,476/x
  3. Step 3: Cross multiply
    595,012x = 906,476 × 906,476
  4. Step 4: Simplify right side
    595,012x = 821,698,738,576
  5. Step 5: Solve for x
    x = 821,698,738,576/595,012
  6. Step 6: Final answer
    x = 1,380,978.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.