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Finding the Third Proportional to 3,434,942 and 4,541,673

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Solution

The third proportional to 3,434,942 and 4,541,673 is: 6,004,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,942 : 4,541,673 = 4,541,673 : x
  2. Step 2: Convert to fraction form
    3,434,942/4,541,673 = 4,541,673/x
  3. Step 3: Cross multiply
    3,434,942x = 4,541,673 × 4,541,673
  4. Step 4: Simplify right side
    3,434,942x = 20,626,793,638,929
  5. Step 5: Solve for x
    x = 20,626,793,638,929/3,434,942
  6. Step 6: Final answer
    x = 6,004,990.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.