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Finding the Third Proportional to 732,014 and 1,093,711

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Solution

The third proportional to 732,014 and 1,093,711 is: 1,634,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,014 : 1,093,711 = 1,093,711 : x
  2. Step 2: Convert to fraction form
    732,014/1,093,711 = 1,093,711/x
  3. Step 3: Cross multiply
    732,014x = 1,093,711 × 1,093,711
  4. Step 4: Simplify right side
    732,014x = 1,196,203,751,521
  5. Step 5: Solve for x
    x = 1,196,203,751,521/732,014
  6. Step 6: Final answer
    x = 1,634,126.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.