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Finding the Third Proportional to 2,670,984 and 6,298,821

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Solution

The third proportional to 2,670,984 and 6,298,821 is: 14,854,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670,984 : 6,298,821 = 6,298,821 : x
  2. Step 2: Convert to fraction form
    2,670,984/6,298,821 = 6,298,821/x
  3. Step 3: Cross multiply
    2,670,984x = 6,298,821 × 6,298,821
  4. Step 4: Simplify right side
    2,670,984x = 39,675,145,990,041
  5. Step 5: Solve for x
    x = 39,675,145,990,041/2,670,984
  6. Step 6: Final answer
    x = 14,854,130.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.