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Finding the Third Proportional to 2,134,992 and 4,643,232

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Solution

The third proportional to 2,134,992 and 4,643,232 is: 10,098,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,992 : 4,643,232 = 4,643,232 : x
  2. Step 2: Convert to fraction form
    2,134,992/4,643,232 = 4,643,232/x
  3. Step 3: Cross multiply
    2,134,992x = 4,643,232 × 4,643,232
  4. Step 4: Simplify right side
    2,134,992x = 21,559,603,405,824
  5. Step 5: Solve for x
    x = 21,559,603,405,824/2,134,992
  6. Step 6: Final answer
    x = 10,098,212.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.