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Finding the Third Proportional to 685,416 and 1,024,092

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Solution

The third proportional to 685,416 and 1,024,092 is: 1,530,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,416 : 1,024,092 = 1,024,092 : x
  2. Step 2: Convert to fraction form
    685,416/1,024,092 = 1,024,092/x
  3. Step 3: Cross multiply
    685,416x = 1,024,092 × 1,024,092
  4. Step 4: Simplify right side
    685,416x = 1,048,764,424,464
  5. Step 5: Solve for x
    x = 1,048,764,424,464/685,416
  6. Step 6: Final answer
    x = 1,530,113.72

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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.