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Finding the Third Proportional to 2,944,292 and 4,431,176

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Solution

The third proportional to 2,944,292 and 4,431,176 is: 6,668,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944,292 : 4,431,176 = 4,431,176 : x
  2. Step 2: Convert to fraction form
    2,944,292/4,431,176 = 4,431,176/x
  3. Step 3: Cross multiply
    2,944,292x = 4,431,176 × 4,431,176
  4. Step 4: Simplify right side
    2,944,292x = 19,635,320,742,976
  5. Step 5: Solve for x
    x = 19,635,320,742,976/2,944,292
  6. Step 6: Final answer
    x = 6,668,944.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.