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Finding the Third Proportional to 405,128 and 886,536

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Solution

The third proportional to 405,128 and 886,536 is: 1,939,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,128 : 886,536 = 886,536 : x
  2. Step 2: Convert to fraction form
    405,128/886,536 = 886,536/x
  3. Step 3: Cross multiply
    405,128x = 886,536 × 886,536
  4. Step 4: Simplify right side
    405,128x = 785,946,079,296
  5. Step 5: Solve for x
    x = 785,946,079,296/405,128
  6. Step 6: Final answer
    x = 1,939,994.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.