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Finding the Third Proportional to 2,907,305 and 4,332,596

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Solution

The third proportional to 2,907,305 and 4,332,596 is: 6,456,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907,305 : 4,332,596 = 4,332,596 : x
  2. Step 2: Convert to fraction form
    2,907,305/4,332,596 = 4,332,596/x
  3. Step 3: Cross multiply
    2,907,305x = 4,332,596 × 4,332,596
  4. Step 4: Simplify right side
    2,907,305x = 18,771,388,099,216
  5. Step 5: Solve for x
    x = 18,771,388,099,216/2,907,305
  6. Step 6: Final answer
    x = 6,456,628.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.