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Finding the Third Proportional to 1,481,472 and 2,097,648

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Solution

The third proportional to 1,481,472 and 2,097,648 is: 2,970,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,472 : 2,097,648 = 2,097,648 : x
  2. Step 2: Convert to fraction form
    1,481,472/2,097,648 = 2,097,648/x
  3. Step 3: Cross multiply
    1,481,472x = 2,097,648 × 2,097,648
  4. Step 4: Simplify right side
    1,481,472x = 4,400,127,131,904
  5. Step 5: Solve for x
    x = 4,400,127,131,904/1,481,472
  6. Step 6: Final answer
    x = 2,970,104.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.