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Finding the Third Proportional to 477,947 and 1,042,847

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Solution

The third proportional to 477,947 and 1,042,847 is: 2,275,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,947 : 1,042,847 = 1,042,847 : x
  2. Step 2: Convert to fraction form
    477,947/1,042,847 = 1,042,847/x
  3. Step 3: Cross multiply
    477,947x = 1,042,847 × 1,042,847
  4. Step 4: Simplify right side
    477,947x = 1,087,529,865,409
  5. Step 5: Solve for x
    x = 1,087,529,865,409/477,947
  6. Step 6: Final answer
    x = 2,275,419.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.