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Finding the Third Proportional to 1,638,532 and 2,507,692

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Solution

The third proportional to 1,638,532 and 2,507,692 is: 3,837,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,532 : 2,507,692 = 2,507,692 : x
  2. Step 2: Convert to fraction form
    1,638,532/2,507,692 = 2,507,692/x
  3. Step 3: Cross multiply
    1,638,532x = 2,507,692 × 2,507,692
  4. Step 4: Simplify right side
    1,638,532x = 6,288,519,166,864
  5. Step 5: Solve for x
    x = 6,288,519,166,864/1,638,532
  6. Step 6: Final answer
    x = 3,837,898.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.