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Finding the Third Proportional to 1,475,686 and 2,256,351

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Solution

The third proportional to 1,475,686 and 2,256,351 is: 3,450,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,686 : 2,256,351 = 2,256,351 : x
  2. Step 2: Convert to fraction form
    1,475,686/2,256,351 = 2,256,351/x
  3. Step 3: Cross multiply
    1,475,686x = 2,256,351 × 2,256,351
  4. Step 4: Simplify right side
    1,475,686x = 5,091,119,835,201
  5. Step 5: Solve for x
    x = 5,091,119,835,201/1,475,686
  6. Step 6: Final answer
    x = 3,450,002.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.