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Finding the Third Proportional to 4,287,576 and 6,824,964

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Solution

The third proportional to 4,287,576 and 6,824,964 is: 10,863,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,576 : 6,824,964 = 6,824,964 : x
  2. Step 2: Convert to fraction form
    4,287,576/6,824,964 = 6,824,964/x
  3. Step 3: Cross multiply
    4,287,576x = 6,824,964 × 6,824,964
  4. Step 4: Simplify right side
    4,287,576x = 46,580,133,601,296
  5. Step 5: Solve for x
    x = 46,580,133,601,296/4,287,576
  6. Step 6: Final answer
    x = 10,863,978.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.