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Finding the Third Proportional to 3,045,911 and 4,569,474

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Solution

The third proportional to 3,045,911 and 4,569,474 is: 6,855,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045,911 : 4,569,474 = 4,569,474 : x
  2. Step 2: Convert to fraction form
    3,045,911/4,569,474 = 4,569,474/x
  3. Step 3: Cross multiply
    3,045,911x = 4,569,474 × 4,569,474
  4. Step 4: Simplify right side
    3,045,911x = 20,880,092,636,676
  5. Step 5: Solve for x
    x = 20,880,092,636,676/3,045,911
  6. Step 6: Final answer
    x = 6,855,122.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.