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Finding the Third Proportional to 403,546,698 and 839,300,514.75

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Solution

The third proportional to 403,546,698 and 839,300,514.75 is: 1,745,585,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,546,698 : 839,300,514.75 = 839,300,514.75 : x
  2. Step 2: Convert to fraction form
    403,546,698/839,300,514.75 = 839,300,514.75/x
  3. Step 3: Cross multiply
    403,546,698x = 839,300,514.75 × 839,300,514.75
  4. Step 4: Simplify right side
    403,546,698x = 704,425,354,059,614,976
  5. Step 5: Solve for x
    x = 704,425,354,059,614,976/403,546,698
  6. Step 6: Final answer
    x = 1,745,585,721.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.