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Finding the Third Proportional to 1,014,048 and 2,195,424

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Solution

The third proportional to 1,014,048 and 2,195,424 is: 4,753,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,048 : 2,195,424 = 2,195,424 : x
  2. Step 2: Convert to fraction form
    1,014,048/2,195,424 = 2,195,424/x
  3. Step 3: Cross multiply
    1,014,048x = 2,195,424 × 2,195,424
  4. Step 4: Simplify right side
    1,014,048x = 4,819,886,539,776
  5. Step 5: Solve for x
    x = 4,819,886,539,776/1,014,048
  6. Step 6: Final answer
    x = 4,753,114.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.