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Finding the Third Proportional to 940,794 and 1,433,313

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Solution

The third proportional to 940,794 and 1,433,313 is: 2,183,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,794 : 1,433,313 = 1,433,313 : x
  2. Step 2: Convert to fraction form
    940,794/1,433,313 = 1,433,313/x
  3. Step 3: Cross multiply
    940,794x = 1,433,313 × 1,433,313
  4. Step 4: Simplify right side
    940,794x = 2,054,386,155,969
  5. Step 5: Solve for x
    x = 2,054,386,155,969/940,794
  6. Step 6: Final answer
    x = 2,183,672.68

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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.