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Finding the Third Proportional to 436,701 and 943,521

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Solution

The third proportional to 436,701 and 943,521 is: 2,038,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,701 : 943,521 = 943,521 : x
  2. Step 2: Convert to fraction form
    436,701/943,521 = 943,521/x
  3. Step 3: Cross multiply
    436,701x = 943,521 × 943,521
  4. Step 4: Simplify right side
    436,701x = 890,231,877,441
  5. Step 5: Solve for x
    x = 890,231,877,441/436,701
  6. Step 6: Final answer
    x = 2,038,538.67

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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.