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Finding the Third Proportional to 1,524,696 and 2,032,653

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Solution

The third proportional to 1,524,696 and 2,032,653 is: 2,709,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,696 : 2,032,653 = 2,032,653 : x
  2. Step 2: Convert to fraction form
    1,524,696/2,032,653 = 2,032,653/x
  3. Step 3: Cross multiply
    1,524,696x = 2,032,653 × 2,032,653
  4. Step 4: Simplify right side
    1,524,696x = 4,131,678,218,409
  5. Step 5: Solve for x
    x = 4,131,678,218,409/1,524,696
  6. Step 6: Final answer
    x = 2,709,837.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.