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Finding the Third Proportional to 711,233 and 1,540,564

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Solution

The third proportional to 711,233 and 1,540,564 is: 3,336,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,233 : 1,540,564 = 1,540,564 : x
  2. Step 2: Convert to fraction form
    711,233/1,540,564 = 1,540,564/x
  3. Step 3: Cross multiply
    711,233x = 1,540,564 × 1,540,564
  4. Step 4: Simplify right side
    711,233x = 2,373,337,438,096
  5. Step 5: Solve for x
    x = 2,373,337,438,096/711,233
  6. Step 6: Final answer
    x = 3,336,933.80

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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.