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Finding the Third Proportional to 3,406,818.23 and 5,236,522.80

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Solution

The third proportional to 3,406,818.23 and 5,236,522.80 is: 8,048,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406,818.23 : 5,236,522.80 = 5,236,522.80 : x
  2. Step 2: Convert to fraction form
    3,406,818.23/5,236,522.80 = 5,236,522.80/x
  3. Step 3: Cross multiply
    3,406,818.23x = 5,236,522.80 × 5,236,522.80
  4. Step 4: Simplify right side
    3,406,818.23x = 27,421,171,084,012.24
  5. Step 5: Solve for x
    x = 27,421,171,084,012.24/3,406,818.23
  6. Step 6: Final answer
    x = 8,048,909.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.