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Finding the Third Proportional to 699,170 and 1,069,131

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Solution

The third proportional to 699,170 and 1,069,131 is: 1,634,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,170 : 1,069,131 = 1,069,131 : x
  2. Step 2: Convert to fraction form
    699,170/1,069,131 = 1,069,131/x
  3. Step 3: Cross multiply
    699,170x = 1,069,131 × 1,069,131
  4. Step 4: Simplify right side
    699,170x = 1,143,041,095,161
  5. Step 5: Solve for x
    x = 1,143,041,095,161/699,170
  6. Step 6: Final answer
    x = 1,634,854.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.