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Finding the Third Proportional to 674,234 and 1,448,522

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Solution

The third proportional to 674,234 and 1,448,522 is: 3,111,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,234 : 1,448,522 = 1,448,522 : x
  2. Step 2: Convert to fraction form
    674,234/1,448,522 = 1,448,522/x
  3. Step 3: Cross multiply
    674,234x = 1,448,522 × 1,448,522
  4. Step 4: Simplify right side
    674,234x = 2,098,215,984,484
  5. Step 5: Solve for x
    x = 2,098,215,984,484/674,234
  6. Step 6: Final answer
    x = 3,111,999.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.