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Finding the Third Proportional to 408,101.63 and 886,096.13

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Solution

The third proportional to 408,101.63 and 886,096.13 is: 1,923,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,101.63 : 886,096.13 = 886,096.13 : x
  2. Step 2: Convert to fraction form
    408,101.63/886,096.13 = 886,096.13/x
  3. Step 3: Cross multiply
    408,101.63x = 886,096.13 × 886,096.13
  4. Step 4: Simplify right side
    408,101.63x = 785,166,342,740.02
  5. Step 5: Solve for x
    x = 785,166,342,740.02/408,101.63
  6. Step 6: Final answer
    x = 1,923,948.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.