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Finding the Third Proportional to 436,699 and 943,517

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Solution

The third proportional to 436,699 and 943,517 is: 2,038,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,699 : 943,517 = 943,517 : x
  2. Step 2: Convert to fraction form
    436,699/943,517 = 943,517/x
  3. Step 3: Cross multiply
    436,699x = 943,517 × 943,517
  4. Step 4: Simplify right side
    436,699x = 890,224,329,289
  5. Step 5: Solve for x
    x = 890,224,329,289/436,699
  6. Step 6: Final answer
    x = 2,038,530.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.