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Finding the Third Proportional to 1,648,176.75 and 3,422,673

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Solution

The third proportional to 1,648,176.75 and 3,422,673 is: 7,107,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,176.75 : 3,422,673 = 3,422,673 : x
  2. Step 2: Convert to fraction form
    1,648,176.75/3,422,673 = 3,422,673/x
  3. Step 3: Cross multiply
    1,648,176.75x = 3,422,673 × 3,422,673
  4. Step 4: Simplify right side
    1,648,176.75x = 11,714,690,464,929
  5. Step 5: Solve for x
    x = 11,714,690,464,929/1,648,176.75
  6. Step 6: Final answer
    x = 7,107,666.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.