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Finding the Third Proportional to 2,129,576.06 and 4,618,465.59

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Solution

The third proportional to 2,129,576.06 and 4,618,465.59 is: 10,016,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,576.06 : 4,618,465.59 = 4,618,465.59 : x
  2. Step 2: Convert to fraction form
    2,129,576.06/4,618,465.59 = 4,618,465.59/x
  3. Step 3: Cross multiply
    2,129,576.06x = 4,618,465.59 × 4,618,465.59
  4. Step 4: Simplify right side
    2,129,576.06x = 21,330,224,440,652.54
  5. Step 5: Solve for x
    x = 21,330,224,440,652.54/2,129,576.06
  6. Step 6: Final answer
    x = 10,016,183.42

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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.