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Finding the Third Proportional to 472,838 and 1,026,054

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Solution

The third proportional to 472,838 and 1,026,054 is: 2,226,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,838 : 1,026,054 = 1,026,054 : x
  2. Step 2: Convert to fraction form
    472,838/1,026,054 = 1,026,054/x
  3. Step 3: Cross multiply
    472,838x = 1,026,054 × 1,026,054
  4. Step 4: Simplify right side
    472,838x = 1,052,786,810,916
  5. Step 5: Solve for x
    x = 1,052,786,810,916/472,838
  6. Step 6: Final answer
    x = 2,226,527.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.