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Finding the Third Proportional to 605,864 and 1,274,402

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Solution

The third proportional to 605,864 and 1,274,402 is: 2,680,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,864 : 1,274,402 = 1,274,402 : x
  2. Step 2: Convert to fraction form
    605,864/1,274,402 = 1,274,402/x
  3. Step 3: Cross multiply
    605,864x = 1,274,402 × 1,274,402
  4. Step 4: Simplify right side
    605,864x = 1,624,100,457,604
  5. Step 5: Solve for x
    x = 1,624,100,457,604/605,864
  6. Step 6: Final answer
    x = 2,680,635.35

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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.