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Finding the Third Proportional to 705,247.88 and 1,074,396.38

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Solution

The third proportional to 705,247.88 and 1,074,396.38 is: 1,636,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,247.88 : 1,074,396.38 = 1,074,396.38 : x
  2. Step 2: Convert to fraction form
    705,247.88/1,074,396.38 = 1,074,396.38/x
  3. Step 3: Cross multiply
    705,247.88x = 1,074,396.38 × 1,074,396.38
  4. Step 4: Simplify right side
    705,247.88x = 1,154,327,570,613.14
  5. Step 5: Solve for x
    x = 1,154,327,570,613.14/705,247.88
  6. Step 6: Final answer
    x = 1,636,768.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.