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Finding the Third Proportional to 421,926 and 859,518

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Solution

The third proportional to 421,926 and 859,518 is: 1,750,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,926 : 859,518 = 859,518 : x
  2. Step 2: Convert to fraction form
    421,926/859,518 = 859,518/x
  3. Step 3: Cross multiply
    421,926x = 859,518 × 859,518
  4. Step 4: Simplify right side
    421,926x = 738,771,192,324
  5. Step 5: Solve for x
    x = 738,771,192,324/421,926
  6. Step 6: Final answer
    x = 1,750,949.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.