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Finding the Third Proportional to 1,546,688 and 2,178,112

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Solution

The third proportional to 1,546,688 and 2,178,112 is: 3,067,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,688 : 2,178,112 = 2,178,112 : x
  2. Step 2: Convert to fraction form
    1,546,688/2,178,112 = 2,178,112/x
  3. Step 3: Cross multiply
    1,546,688x = 2,178,112 × 2,178,112
  4. Step 4: Simplify right side
    1,546,688x = 4,744,171,884,544
  5. Step 5: Solve for x
    x = 4,744,171,884,544/1,546,688
  6. Step 6: Final answer
    x = 3,067,310.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.