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Finding the Third Proportional to 576,009 and 1,256,832

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Solution

The third proportional to 576,009 and 1,256,832 is: 2,742,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,009 : 1,256,832 = 1,256,832 : x
  2. Step 2: Convert to fraction form
    576,009/1,256,832 = 1,256,832/x
  3. Step 3: Cross multiply
    576,009x = 1,256,832 × 1,256,832
  4. Step 4: Simplify right side
    576,009x = 1,579,626,676,224
  5. Step 5: Solve for x
    x = 1,579,626,676,224/576,009
  6. Step 6: Final answer
    x = 2,742,364.57

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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.