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Finding the Third Proportional to 576,004 and 1,256,012

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Solution

The third proportional to 576,004 and 1,256,012 is: 2,738,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,004 : 1,256,012 = 1,256,012 : x
  2. Step 2: Convert to fraction form
    576,004/1,256,012 = 1,256,012/x
  3. Step 3: Cross multiply
    576,004x = 1,256,012 × 1,256,012
  4. Step 4: Simplify right side
    576,004x = 1,577,566,144,144
  5. Step 5: Solve for x
    x = 1,577,566,144,144/576,004
  6. Step 6: Final answer
    x = 2,738,811.09

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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.