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Finding the Third Proportional to 446,191 and 869,964

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Solution

The third proportional to 446,191 and 869,964 is: 1,696,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,191 : 869,964 = 869,964 : x
  2. Step 2: Convert to fraction form
    446,191/869,964 = 869,964/x
  3. Step 3: Cross multiply
    446,191x = 869,964 × 869,964
  4. Step 4: Simplify right side
    446,191x = 756,837,361,296
  5. Step 5: Solve for x
    x = 756,837,361,296/446,191
  6. Step 6: Final answer
    x = 1,696,218.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.