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Finding the Third Proportional to 1,614,400 and 3,512,562

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Solution

The third proportional to 1,614,400 and 3,512,562 is: 7,642,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,400 : 3,512,562 = 3,512,562 : x
  2. Step 2: Convert to fraction form
    1,614,400/3,512,562 = 3,512,562/x
  3. Step 3: Cross multiply
    1,614,400x = 3,512,562 × 3,512,562
  4. Step 4: Simplify right side
    1,614,400x = 12,338,091,803,844
  5. Step 5: Solve for x
    x = 12,338,091,803,844/1,614,400
  6. Step 6: Final answer
    x = 7,642,524.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.