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Finding the Third Proportional to 403,664 and 886,048

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Solution

The third proportional to 403,664 and 886,048 is: 1,944,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,664 : 886,048 = 886,048 : x
  2. Step 2: Convert to fraction form
    403,664/886,048 = 886,048/x
  3. Step 3: Cross multiply
    403,664x = 886,048 × 886,048
  4. Step 4: Simplify right side
    403,664x = 785,081,058,304
  5. Step 5: Solve for x
    x = 785,081,058,304/403,664
  6. Step 6: Final answer
    x = 1,944,887.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.