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Finding the Third Proportional to 1,670,129 and 3,659,456

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Solution

The third proportional to 1,670,129 and 3,659,456 is: 8,018,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,129 : 3,659,456 = 3,659,456 : x
  2. Step 2: Convert to fraction form
    1,670,129/3,659,456 = 3,659,456/x
  3. Step 3: Cross multiply
    1,670,129x = 3,659,456 × 3,659,456
  4. Step 4: Simplify right side
    1,670,129x = 13,391,618,215,936
  5. Step 5: Solve for x
    x = 13,391,618,215,936/1,670,129
  6. Step 6: Final answer
    x = 8,018,313.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.