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Finding the Third Proportional to 1,262,523.38 and 1,958,914.13

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Solution

The third proportional to 1,262,523.38 and 1,958,914.13 is: 3,039,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,523.38 : 1,958,914.13 = 1,958,914.13 : x
  2. Step 2: Convert to fraction form
    1,262,523.38/1,958,914.13 = 1,958,914.13/x
  3. Step 3: Cross multiply
    1,262,523.38x = 1,958,914.13 × 1,958,914.13
  4. Step 4: Simplify right side
    1,262,523.38x = 3,837,344,549,124.52
  5. Step 5: Solve for x
    x = 3,837,344,549,124.52/1,262,523.38
  6. Step 6: Final answer
    x = 3,039,424.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.