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Finding the Third Proportional to 472,356 and 1,017,288

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Solution

The third proportional to 472,356 and 1,017,288 is: 2,190,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,356 : 1,017,288 = 1,017,288 : x
  2. Step 2: Convert to fraction form
    472,356/1,017,288 = 1,017,288/x
  3. Step 3: Cross multiply
    472,356x = 1,017,288 × 1,017,288
  4. Step 4: Simplify right side
    472,356x = 1,034,874,874,944
  5. Step 5: Solve for x
    x = 1,034,874,874,944/472,356
  6. Step 6: Final answer
    x = 2,190,879.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.