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Finding the Third Proportional to 2,159,424 and 4,999,168

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Solution

The third proportional to 2,159,424 and 4,999,168 is: 11,573,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,424 : 4,999,168 = 4,999,168 : x
  2. Step 2: Convert to fraction form
    2,159,424/4,999,168 = 4,999,168/x
  3. Step 3: Cross multiply
    2,159,424x = 4,999,168 × 4,999,168
  4. Step 4: Simplify right side
    2,159,424x = 24,991,680,692,224
  5. Step 5: Solve for x
    x = 24,991,680,692,224/2,159,424
  6. Step 6: Final answer
    x = 11,573,308.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.