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Finding the Third Proportional to 544,096 and 1,184,564

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Solution

The third proportional to 544,096 and 1,184,564 is: 2,578,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,096 : 1,184,564 = 1,184,564 : x
  2. Step 2: Convert to fraction form
    544,096/1,184,564 = 1,184,564/x
  3. Step 3: Cross multiply
    544,096x = 1,184,564 × 1,184,564
  4. Step 4: Simplify right side
    544,096x = 1,403,191,870,096
  5. Step 5: Solve for x
    x = 1,403,191,870,096/544,096
  6. Step 6: Final answer
    x = 2,578,941.71

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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.