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Finding the Third Proportional to 415,440 and 909,936

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Solution

The third proportional to 415,440 and 909,936 is: 1,993,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,440 : 909,936 = 909,936 : x
  2. Step 2: Convert to fraction form
    415,440/909,936 = 909,936/x
  3. Step 3: Cross multiply
    415,440x = 909,936 × 909,936
  4. Step 4: Simplify right side
    415,440x = 827,983,524,096
  5. Step 5: Solve for x
    x = 827,983,524,096/415,440
  6. Step 6: Final answer
    x = 1,993,027.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.