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Finding the Third Proportional to 472,904 and 1,028,752

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Solution

The third proportional to 472,904 and 1,028,752 is: 2,237,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,904 : 1,028,752 = 1,028,752 : x
  2. Step 2: Convert to fraction form
    472,904/1,028,752 = 1,028,752/x
  3. Step 3: Cross multiply
    472,904x = 1,028,752 × 1,028,752
  4. Step 4: Simplify right side
    472,904x = 1,058,330,677,504
  5. Step 5: Solve for x
    x = 1,058,330,677,504/472,904
  6. Step 6: Final answer
    x = 2,237,939.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.