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Finding the Third Proportional to 2,761,454 and 6,024,946

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Solution

The third proportional to 2,761,454 and 6,024,946 is: 13,145,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761,454 : 6,024,946 = 6,024,946 : x
  2. Step 2: Convert to fraction form
    2,761,454/6,024,946 = 6,024,946/x
  3. Step 3: Cross multiply
    2,761,454x = 6,024,946 × 6,024,946
  4. Step 4: Simplify right side
    2,761,454x = 36,299,974,302,916
  5. Step 5: Solve for x
    x = 36,299,974,302,916/2,761,454
  6. Step 6: Final answer
    x = 13,145,239.54

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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.