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Finding the Third Proportional to 1,782,324 and 2,782,836

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Solution

The third proportional to 1,782,324 and 2,782,836 is: 4,344,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,324 : 2,782,836 = 2,782,836 : x
  2. Step 2: Convert to fraction form
    1,782,324/2,782,836 = 2,782,836/x
  3. Step 3: Cross multiply
    1,782,324x = 2,782,836 × 2,782,836
  4. Step 4: Simplify right side
    1,782,324x = 7,744,176,202,896
  5. Step 5: Solve for x
    x = 7,744,176,202,896/1,782,324
  6. Step 6: Final answer
    x = 4,344,987.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.