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Finding the Third Proportional to 747,698 and 1,644,858

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Solution

The third proportional to 747,698 and 1,644,858 is: 3,618,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,698 : 1,644,858 = 1,644,858 : x
  2. Step 2: Convert to fraction form
    747,698/1,644,858 = 1,644,858/x
  3. Step 3: Cross multiply
    747,698x = 1,644,858 × 1,644,858
  4. Step 4: Simplify right side
    747,698x = 2,705,557,840,164
  5. Step 5: Solve for x
    x = 2,705,557,840,164/747,698
  6. Step 6: Final answer
    x = 3,618,516.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.