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Finding the Third Proportional to 633,071 and 1,494,441

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Solution

The third proportional to 633,071 and 1,494,441 is: 3,527,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,071 : 1,494,441 = 1,494,441 : x
  2. Step 2: Convert to fraction form
    633,071/1,494,441 = 1,494,441/x
  3. Step 3: Cross multiply
    633,071x = 1,494,441 × 1,494,441
  4. Step 4: Simplify right side
    633,071x = 2,233,353,902,481
  5. Step 5: Solve for x
    x = 2,233,353,902,481/633,071
  6. Step 6: Final answer
    x = 3,527,809.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.