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Finding the Third Proportional to 2,976,714 and 6,457,536

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Solution

The third proportional to 2,976,714 and 6,457,536 is: 14,008,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,714 : 6,457,536 = 6,457,536 : x
  2. Step 2: Convert to fraction form
    2,976,714/6,457,536 = 6,457,536/x
  3. Step 3: Cross multiply
    2,976,714x = 6,457,536 × 6,457,536
  4. Step 4: Simplify right side
    2,976,714x = 41,699,771,191,296
  5. Step 5: Solve for x
    x = 41,699,771,191,296/2,976,714
  6. Step 6: Final answer
    x = 14,008,658.94

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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.