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Finding the Third Proportional to 576,024 and 1,256,856

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Solution

The third proportional to 576,024 and 1,256,856 is: 2,742,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,024 : 1,256,856 = 1,256,856 : x
  2. Step 2: Convert to fraction form
    576,024/1,256,856 = 1,256,856/x
  3. Step 3: Cross multiply
    576,024x = 1,256,856 × 1,256,856
  4. Step 4: Simplify right side
    576,024x = 1,579,687,004,736
  5. Step 5: Solve for x
    x = 1,579,687,004,736/576,024
  6. Step 6: Final answer
    x = 2,742,397.89

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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.