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Finding the Third Proportional to 668,089 and 1,559,162

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Solution

The third proportional to 668,089 and 1,559,162 is: 3,638,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,089 : 1,559,162 = 1,559,162 : x
  2. Step 2: Convert to fraction form
    668,089/1,559,162 = 1,559,162/x
  3. Step 3: Cross multiply
    668,089x = 1,559,162 × 1,559,162
  4. Step 4: Simplify right side
    668,089x = 2,430,986,142,244
  5. Step 5: Solve for x
    x = 2,430,986,142,244/668,089
  6. Step 6: Final answer
    x = 3,638,716.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.