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Finding the Third Proportional to 400,635 and 945,737

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Solution

The third proportional to 400,635 and 945,737 is: 2,232,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,635 : 945,737 = 945,737 : x
  2. Step 2: Convert to fraction form
    400,635/945,737 = 945,737/x
  3. Step 3: Cross multiply
    400,635x = 945,737 × 945,737
  4. Step 4: Simplify right side
    400,635x = 894,418,473,169
  5. Step 5: Solve for x
    x = 894,418,473,169/400,635
  6. Step 6: Final answer
    x = 2,232,502.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.