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Finding the Third Proportional to 576,965 and 1,255,524

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Solution

The third proportional to 576,965 and 1,255,524 is: 2,732,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,965 : 1,255,524 = 1,255,524 : x
  2. Step 2: Convert to fraction form
    576,965/1,255,524 = 1,255,524/x
  3. Step 3: Cross multiply
    576,965x = 1,255,524 × 1,255,524
  4. Step 4: Simplify right side
    576,965x = 1,576,340,514,576
  5. Step 5: Solve for x
    x = 1,576,340,514,576/576,965
  6. Step 6: Final answer
    x = 2,732,125.02

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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.