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Finding the Third Proportional to 2,159,743.50 and 4,665,852

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Solution

The third proportional to 2,159,743.50 and 4,665,852 is: 10,079,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,743.50 : 4,665,852 = 4,665,852 : x
  2. Step 2: Convert to fraction form
    2,159,743.50/4,665,852 = 4,665,852/x
  3. Step 3: Cross multiply
    2,159,743.50x = 4,665,852 × 4,665,852
  4. Step 4: Simplify right side
    2,159,743.50x = 21,770,174,885,904
  5. Step 5: Solve for x
    x = 21,770,174,885,904/2,159,743.50
  6. Step 6: Final answer
    x = 10,079,981.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.