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Finding the Third Proportional to 385,666 and 837,668

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Solution

The third proportional to 385,666 and 837,668 is: 1,819,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,666 : 837,668 = 837,668 : x
  2. Step 2: Convert to fraction form
    385,666/837,668 = 837,668/x
  3. Step 3: Cross multiply
    385,666x = 837,668 × 837,668
  4. Step 4: Simplify right side
    385,666x = 701,687,678,224
  5. Step 5: Solve for x
    x = 701,687,678,224/385,666
  6. Step 6: Final answer
    x = 1,819,418.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.