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Finding the Third Proportional to 2,317,144 and 5,046,200

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Solution

The third proportional to 2,317,144 and 5,046,200 is: 10,989,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,144 : 5,046,200 = 5,046,200 : x
  2. Step 2: Convert to fraction form
    2,317,144/5,046,200 = 5,046,200/x
  3. Step 3: Cross multiply
    2,317,144x = 5,046,200 × 5,046,200
  4. Step 4: Simplify right side
    2,317,144x = 25,464,134,440,000
  5. Step 5: Solve for x
    x = 25,464,134,440,000/2,317,144
  6. Step 6: Final answer
    x = 10,989,448.41

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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.