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Finding the Third Proportional to 711,500 and 1,541,096

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Solution

The third proportional to 711,500 and 1,541,096 is: 3,337,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,500 : 1,541,096 = 1,541,096 : x
  2. Step 2: Convert to fraction form
    711,500/1,541,096 = 1,541,096/x
  3. Step 3: Cross multiply
    711,500x = 1,541,096 × 1,541,096
  4. Step 4: Simplify right side
    711,500x = 2,374,976,881,216
  5. Step 5: Solve for x
    x = 2,374,976,881,216/711,500
  6. Step 6: Final answer
    x = 3,337,985.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.