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Finding the Third Proportional to 3,546,226 and 5,616,224

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Solution

The third proportional to 3,546,226 and 5,616,224 is: 8,894,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546,226 : 5,616,224 = 5,616,224 : x
  2. Step 2: Convert to fraction form
    3,546,226/5,616,224 = 5,616,224/x
  3. Step 3: Cross multiply
    3,546,226x = 5,616,224 × 5,616,224
  4. Step 4: Simplify right side
    3,546,226x = 31,541,972,018,176
  5. Step 5: Solve for x
    x = 31,541,972,018,176/3,546,226
  6. Step 6: Final answer
    x = 8,894,518.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.