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Finding the Third Proportional to 2,057,631 and 2,775,633.50

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Solution

The third proportional to 2,057,631 and 2,775,633.50 is: 3,744,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,631 : 2,775,633.50 = 2,775,633.50 : x
  2. Step 2: Convert to fraction form
    2,057,631/2,775,633.50 = 2,775,633.50/x
  3. Step 3: Cross multiply
    2,057,631x = 2,775,633.50 × 2,775,633.50
  4. Step 4: Simplify right side
    2,057,631x = 7,704,141,326,322.25
  5. Step 5: Solve for x
    x = 7,704,141,326,322.25/2,057,631
  6. Step 6: Final answer
    x = 3,744,180.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.