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Finding the Third Proportional to 1,645,740 and 2,183,697

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Solution

The third proportional to 1,645,740 and 2,183,697 is: 2,897,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,740 : 2,183,697 = 2,183,697 : x
  2. Step 2: Convert to fraction form
    1,645,740/2,183,697 = 2,183,697/x
  3. Step 3: Cross multiply
    1,645,740x = 2,183,697 × 2,183,697
  4. Step 4: Simplify right side
    1,645,740x = 4,768,532,587,809
  5. Step 5: Solve for x
    x = 4,768,532,587,809/1,645,740
  6. Step 6: Final answer
    x = 2,897,500.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.