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Finding the Third Proportional to 605,749 and 1,274,283

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Solution

The third proportional to 605,749 and 1,274,283 is: 2,680,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,749 : 1,274,283 = 1,274,283 : x
  2. Step 2: Convert to fraction form
    605,749/1,274,283 = 1,274,283/x
  3. Step 3: Cross multiply
    605,749x = 1,274,283 × 1,274,283
  4. Step 4: Simplify right side
    605,749x = 1,623,797,164,089
  5. Step 5: Solve for x
    x = 1,623,797,164,089/605,749
  6. Step 6: Final answer
    x = 2,680,643.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.