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Finding the Third Proportional to 789,644 and 1,732,920

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Solution

The third proportional to 789,644 and 1,732,920 is: 3,802,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,644 : 1,732,920 = 1,732,920 : x
  2. Step 2: Convert to fraction form
    789,644/1,732,920 = 1,732,920/x
  3. Step 3: Cross multiply
    789,644x = 1,732,920 × 1,732,920
  4. Step 4: Simplify right side
    789,644x = 3,003,011,726,400
  5. Step 5: Solve for x
    x = 3,003,011,726,400/789,644
  6. Step 6: Final answer
    x = 3,802,994.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.