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Finding the Third Proportional to 1,524,768 and 2,032,731

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Solution

The third proportional to 1,524,768 and 2,032,731 is: 2,709,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,768 : 2,032,731 = 2,032,731 : x
  2. Step 2: Convert to fraction form
    1,524,768/2,032,731 = 2,032,731/x
  3. Step 3: Cross multiply
    1,524,768x = 2,032,731 × 2,032,731
  4. Step 4: Simplify right side
    1,524,768x = 4,131,995,318,361
  5. Step 5: Solve for x
    x = 4,131,995,318,361/1,524,768
  6. Step 6: Final answer
    x = 2,709,917.39

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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.