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Finding the Third Proportional to 770,421 and 1,109,711

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Solution

The third proportional to 770,421 and 1,109,711 is: 1,598,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,421 : 1,109,711 = 1,109,711 : x
  2. Step 2: Convert to fraction form
    770,421/1,109,711 = 1,109,711/x
  3. Step 3: Cross multiply
    770,421x = 1,109,711 × 1,109,711
  4. Step 4: Simplify right side
    770,421x = 1,231,458,503,521
  5. Step 5: Solve for x
    x = 1,231,458,503,521/770,421
  6. Step 6: Final answer
    x = 1,598,422.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.