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Finding the Third Proportional to 477,866 and 1,042,668

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Solution

The third proportional to 477,866 and 1,042,668 is: 2,275,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,866 : 1,042,668 = 1,042,668 : x
  2. Step 2: Convert to fraction form
    477,866/1,042,668 = 1,042,668/x
  3. Step 3: Cross multiply
    477,866x = 1,042,668 × 1,042,668
  4. Step 4: Simplify right side
    477,866x = 1,087,156,558,224
  5. Step 5: Solve for x
    x = 1,087,156,558,224/477,866
  6. Step 6: Final answer
    x = 2,275,023.87

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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.