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Finding the Third Proportional to 455,804 and 940,768

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Solution

The third proportional to 455,804 and 940,768 is: 1,941,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,804 : 940,768 = 940,768 : x
  2. Step 2: Convert to fraction form
    455,804/940,768 = 940,768/x
  3. Step 3: Cross multiply
    455,804x = 940,768 × 940,768
  4. Step 4: Simplify right side
    455,804x = 885,044,429,824
  5. Step 5: Solve for x
    x = 885,044,429,824/455,804
  6. Step 6: Final answer
    x = 1,941,721.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.