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Finding the Third Proportional to 2,980,933 and 6,465,969

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Solution

The third proportional to 2,980,933 and 6,465,969 is: 14,025,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,933 : 6,465,969 = 6,465,969 : x
  2. Step 2: Convert to fraction form
    2,980,933/6,465,969 = 6,465,969/x
  3. Step 3: Cross multiply
    2,980,933x = 6,465,969 × 6,465,969
  4. Step 4: Simplify right side
    2,980,933x = 41,808,755,108,961
  5. Step 5: Solve for x
    x = 41,808,755,108,961/2,980,933
  6. Step 6: Final answer
    x = 14,025,392.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.