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Finding the Third Proportional to 940,616 and 1,441,308

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Solution

The third proportional to 940,616 and 1,441,308 is: 2,208,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,616 : 1,441,308 = 1,441,308 : x
  2. Step 2: Convert to fraction form
    940,616/1,441,308 = 1,441,308/x
  3. Step 3: Cross multiply
    940,616x = 1,441,308 × 1,441,308
  4. Step 4: Simplify right side
    940,616x = 2,077,368,750,864
  5. Step 5: Solve for x
    x = 2,077,368,750,864/940,616
  6. Step 6: Final answer
    x = 2,208,519.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.