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Finding the Third Proportional to 2,964,620 and 6,464,536

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Solution

The third proportional to 2,964,620 and 6,464,536 is: 14,096,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,620 : 6,464,536 = 6,464,536 : x
  2. Step 2: Convert to fraction form
    2,964,620/6,464,536 = 6,464,536/x
  3. Step 3: Cross multiply
    2,964,620x = 6,464,536 × 6,464,536
  4. Step 4: Simplify right side
    2,964,620x = 41,790,225,695,296
  5. Step 5: Solve for x
    x = 41,790,225,695,296/2,964,620
  6. Step 6: Final answer
    x = 14,096,317.81

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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.