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Finding the Third Proportional to 524,961 and 1,124,274

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Solution

The third proportional to 524,961 and 1,124,274 is: 2,407,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,961 : 1,124,274 = 1,124,274 : x
  2. Step 2: Convert to fraction form
    524,961/1,124,274 = 1,124,274/x
  3. Step 3: Cross multiply
    524,961x = 1,124,274 × 1,124,274
  4. Step 4: Simplify right side
    524,961x = 1,263,992,027,076
  5. Step 5: Solve for x
    x = 1,263,992,027,076/524,961
  6. Step 6: Final answer
    x = 2,407,782.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.