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Finding the Third Proportional to 407,673 and 864,682

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Solution

The third proportional to 407,673 and 864,682 is: 1,834,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,673 : 864,682 = 864,682 : x
  2. Step 2: Convert to fraction form
    407,673/864,682 = 864,682/x
  3. Step 3: Cross multiply
    407,673x = 864,682 × 864,682
  4. Step 4: Simplify right side
    407,673x = 747,674,961,124
  5. Step 5: Solve for x
    x = 747,674,961,124/407,673
  6. Step 6: Final answer
    x = 1,834,006.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.