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Finding the Third Proportional to 685,434 and 1,024,119

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Solution

The third proportional to 685,434 and 1,024,119 is: 1,530,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,434 : 1,024,119 = 1,024,119 : x
  2. Step 2: Convert to fraction form
    685,434/1,024,119 = 1,024,119/x
  3. Step 3: Cross multiply
    685,434x = 1,024,119 × 1,024,119
  4. Step 4: Simplify right side
    685,434x = 1,048,819,726,161
  5. Step 5: Solve for x
    x = 1,048,819,726,161/685,434
  6. Step 6: Final answer
    x = 1,530,154.22

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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.