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Finding the Third Proportional to 1,586,673 and 3,425,823

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Solution

The third proportional to 1,586,673 and 3,425,823 is: 7,396,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,673 : 3,425,823 = 3,425,823 : x
  2. Step 2: Convert to fraction form
    1,586,673/3,425,823 = 3,425,823/x
  3. Step 3: Cross multiply
    1,586,673x = 3,425,823 × 3,425,823
  4. Step 4: Simplify right side
    1,586,673x = 11,736,263,227,329
  5. Step 5: Solve for x
    x = 11,736,263,227,329/1,586,673
  6. Step 6: Final answer
    x = 7,396,775.03

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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.