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Finding the Third Proportional to 699,168 and 1,069,128

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Solution

The third proportional to 699,168 and 1,069,128 is: 1,634,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,168 : 1,069,128 = 1,069,128 : x
  2. Step 2: Convert to fraction form
    699,168/1,069,128 = 1,069,128/x
  3. Step 3: Cross multiply
    699,168x = 1,069,128 × 1,069,128
  4. Step 4: Simplify right side
    699,168x = 1,143,034,680,384
  5. Step 5: Solve for x
    x = 1,143,034,680,384/699,168
  6. Step 6: Final answer
    x = 1,634,849.82

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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.