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Finding the Third Proportional to 2,242,164 and 3,223,278

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Solution

The third proportional to 2,242,164 and 3,223,278 is: 4,633,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,164 : 3,223,278 = 3,223,278 : x
  2. Step 2: Convert to fraction form
    2,242,164/3,223,278 = 3,223,278/x
  3. Step 3: Cross multiply
    2,242,164x = 3,223,278 × 3,223,278
  4. Step 4: Simplify right side
    2,242,164x = 10,389,521,065,284
  5. Step 5: Solve for x
    x = 10,389,521,065,284/2,242,164
  6. Step 6: Final answer
    x = 4,633,702.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.