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Finding the Third Proportional to 384,741 and 834,687

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Solution

The third proportional to 384,741 and 834,687 is: 1,810,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,741 : 834,687 = 834,687 : x
  2. Step 2: Convert to fraction form
    384,741/834,687 = 834,687/x
  3. Step 3: Cross multiply
    384,741x = 834,687 × 834,687
  4. Step 4: Simplify right side
    384,741x = 696,702,387,969
  5. Step 5: Solve for x
    x = 696,702,387,969/384,741
  6. Step 6: Final answer
    x = 1,810,834.79

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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.