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Finding the Third Proportional to 2,466,454 and 5,379,946

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Solution

The third proportional to 2,466,454 and 5,379,946 is: 11,734,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,454 : 5,379,946 = 5,379,946 : x
  2. Step 2: Convert to fraction form
    2,466,454/5,379,946 = 5,379,946/x
  3. Step 3: Cross multiply
    2,466,454x = 5,379,946 × 5,379,946
  4. Step 4: Simplify right side
    2,466,454x = 28,943,818,962,916
  5. Step 5: Solve for x
    x = 28,943,818,962,916/2,466,454
  6. Step 6: Final answer
    x = 11,734,992.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.