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Finding the Third Proportional to 851,735 and 1,318,611

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Solution

The third proportional to 851,735 and 1,318,611 is: 2,041,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,735 : 1,318,611 = 1,318,611 : x
  2. Step 2: Convert to fraction form
    851,735/1,318,611 = 1,318,611/x
  3. Step 3: Cross multiply
    851,735x = 1,318,611 × 1,318,611
  4. Step 4: Simplify right side
    851,735x = 1,738,734,969,321
  5. Step 5: Solve for x
    x = 1,738,734,969,321/851,735
  6. Step 6: Final answer
    x = 2,041,403.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.