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Finding the Third Proportional to 406,440.28 and 858,670.88

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Solution

The third proportional to 406,440.28 and 858,670.88 is: 1,814,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,440.28 : 858,670.88 = 858,670.88 : x
  2. Step 2: Convert to fraction form
    406,440.28/858,670.88 = 858,670.88/x
  3. Step 3: Cross multiply
    406,440.28x = 858,670.88 × 858,670.88
  4. Step 4: Simplify right side
    406,440.28x = 737,315,671,573.27
  5. Step 5: Solve for x
    x = 737,315,671,573.27/406,440.28
  6. Step 6: Final answer
    x = 1,814,081.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.