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Finding the Third Proportional to 449,628 and 940,827

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Solution

The third proportional to 449,628 and 940,827 is: 1,968,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,628 : 940,827 = 940,827 : x
  2. Step 2: Convert to fraction form
    449,628/940,827 = 940,827/x
  3. Step 3: Cross multiply
    449,628x = 940,827 × 940,827
  4. Step 4: Simplify right side
    449,628x = 885,155,443,929
  5. Step 5: Solve for x
    x = 885,155,443,929/449,628
  6. Step 6: Final answer
    x = 1,968,639.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.