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Finding the Third Proportional to 576,016 and 1,256,848

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Solution

The third proportional to 576,016 and 1,256,848 is: 2,742,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,016 : 1,256,848 = 1,256,848 : x
  2. Step 2: Convert to fraction form
    576,016/1,256,848 = 1,256,848/x
  3. Step 3: Cross multiply
    576,016x = 1,256,848 × 1,256,848
  4. Step 4: Simplify right side
    576,016x = 1,579,666,895,104
  5. Step 5: Solve for x
    x = 1,579,666,895,104/576,016
  6. Step 6: Final answer
    x = 2,742,401.07

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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.