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Finding the Third Proportional to 2,747,880 and 5,983,920

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Solution

The third proportional to 2,747,880 and 5,983,920 is: 13,030,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747,880 : 5,983,920 = 5,983,920 : x
  2. Step 2: Convert to fraction form
    2,747,880/5,983,920 = 5,983,920/x
  3. Step 3: Cross multiply
    2,747,880x = 5,983,920 × 5,983,920
  4. Step 4: Simplify right side
    2,747,880x = 35,807,298,566,400
  5. Step 5: Solve for x
    x = 35,807,298,566,400/2,747,880
  6. Step 6: Final answer
    x = 13,030,881.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.