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Finding the Third Proportional to 1,645,699 and 2,183,667

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Solution

The third proportional to 1,645,699 and 2,183,667 is: 2,897,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,699 : 2,183,667 = 2,183,667 : x
  2. Step 2: Convert to fraction form
    1,645,699/2,183,667 = 2,183,667/x
  3. Step 3: Cross multiply
    1,645,699x = 2,183,667 × 2,183,667
  4. Step 4: Simplify right side
    1,645,699x = 4,768,401,566,889
  5. Step 5: Solve for x
    x = 4,768,401,566,889/1,645,699
  6. Step 6: Final answer
    x = 2,897,493.14

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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.