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Finding the Third Proportional to 576,022 and 1,256,864

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Solution

The third proportional to 576,022 and 1,256,864 is: 2,742,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,022 : 1,256,864 = 1,256,864 : x
  2. Step 2: Convert to fraction form
    576,022/1,256,864 = 1,256,864/x
  3. Step 3: Cross multiply
    576,022x = 1,256,864 × 1,256,864
  4. Step 4: Simplify right side
    576,022x = 1,579,707,114,496
  5. Step 5: Solve for x
    x = 1,579,707,114,496/576,022
  6. Step 6: Final answer
    x = 2,742,442.33

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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.