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Finding the Third Proportional to 699,176 and 1,061,652

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Solution

The third proportional to 699,176 and 1,061,652 is: 1,612,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,176 : 1,061,652 = 1,061,652 : x
  2. Step 2: Convert to fraction form
    699,176/1,061,652 = 1,061,652/x
  3. Step 3: Cross multiply
    699,176x = 1,061,652 × 1,061,652
  4. Step 4: Simplify right side
    699,176x = 1,127,104,969,104
  5. Step 5: Solve for x
    x = 1,127,104,969,104/699,176
  6. Step 6: Final answer
    x = 1,612,047.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.