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Finding the Third Proportional to 576,962 and 1,255,519

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Solution

The third proportional to 576,962 and 1,255,519 is: 2,732,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,962 : 1,255,519 = 1,255,519 : x
  2. Step 2: Convert to fraction form
    576,962/1,255,519 = 1,255,519/x
  3. Step 3: Cross multiply
    576,962x = 1,255,519 × 1,255,519
  4. Step 4: Simplify right side
    576,962x = 1,576,327,959,361
  5. Step 5: Solve for x
    x = 1,576,327,959,361/576,962
  6. Step 6: Final answer
    x = 2,732,117.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.