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Finding the Third Proportional to 1,342,100 and 2,032,698

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Solution

The third proportional to 1,342,100 and 2,032,698 is: 3,078,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,100 : 2,032,698 = 2,032,698 : x
  2. Step 2: Convert to fraction form
    1,342,100/2,032,698 = 2,032,698/x
  3. Step 3: Cross multiply
    1,342,100x = 2,032,698 × 2,032,698
  4. Step 4: Simplify right side
    1,342,100x = 4,131,861,159,204
  5. Step 5: Solve for x
    x = 4,131,861,159,204/1,342,100
  6. Step 6: Final answer
    x = 3,078,653.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.