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Finding the Third Proportional to 4,032,004 and 6,394,524

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Solution

The third proportional to 4,032,004 and 6,394,524 is: 10,141,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032,004 : 6,394,524 = 6,394,524 : x
  2. Step 2: Convert to fraction form
    4,032,004/6,394,524 = 6,394,524/x
  3. Step 3: Cross multiply
    4,032,004x = 6,394,524 × 6,394,524
  4. Step 4: Simplify right side
    4,032,004x = 40,889,937,186,576
  5. Step 5: Solve for x
    x = 40,889,937,186,576/4,032,004
  6. Step 6: Final answer
    x = 10,141,343.41

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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.