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Finding the Third Proportional to 1,203,698 and 1,829,187

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Solution

The third proportional to 1,203,698 and 1,829,187 is: 2,779,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,698 : 1,829,187 = 1,829,187 : x
  2. Step 2: Convert to fraction form
    1,203,698/1,829,187 = 1,829,187/x
  3. Step 3: Cross multiply
    1,203,698x = 1,829,187 × 1,829,187
  4. Step 4: Simplify right side
    1,203,698x = 3,345,925,080,969
  5. Step 5: Solve for x
    x = 3,345,925,080,969/1,203,698
  6. Step 6: Final answer
    x = 2,779,704.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.