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Finding the Third Proportional to 432,371 and 886,126

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Solution

The third proportional to 432,371 and 886,126 is: 1,816,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,371 : 886,126 = 886,126 : x
  2. Step 2: Convert to fraction form
    432,371/886,126 = 886,126/x
  3. Step 3: Cross multiply
    432,371x = 886,126 × 886,126
  4. Step 4: Simplify right side
    432,371x = 785,219,287,876
  5. Step 5: Solve for x
    x = 785,219,287,876/432,371
  6. Step 6: Final answer
    x = 1,816,077.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.