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Finding the Third Proportional to 2,159,148 and 4,650,450

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Solution

The third proportional to 2,159,148 and 4,650,450 is: 10,016,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,148 : 4,650,450 = 4,650,450 : x
  2. Step 2: Convert to fraction form
    2,159,148/4,650,450 = 4,650,450/x
  3. Step 3: Cross multiply
    2,159,148x = 4,650,450 × 4,650,450
  4. Step 4: Simplify right side
    2,159,148x = 21,626,685,202,500
  5. Step 5: Solve for x
    x = 21,626,685,202,500/2,159,148
  6. Step 6: Final answer
    x = 10,016,305.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.