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Finding the Third Proportional to 1,480,462 and 2,231,638

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Solution

The third proportional to 1,480,462 and 2,231,638 is: 3,363,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,462 : 2,231,638 = 2,231,638 : x
  2. Step 2: Convert to fraction form
    1,480,462/2,231,638 = 2,231,638/x
  3. Step 3: Cross multiply
    1,480,462x = 2,231,638 × 2,231,638
  4. Step 4: Simplify right side
    1,480,462x = 4,980,208,163,044
  5. Step 5: Solve for x
    x = 4,980,208,163,044/1,480,462
  6. Step 6: Final answer
    x = 3,363,955.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.