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Finding the Third Proportional to 1,829,600 and 4,012,524

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Solution

The third proportional to 1,829,600 and 4,012,524 is: 8,799,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,600 : 4,012,524 = 4,012,524 : x
  2. Step 2: Convert to fraction form
    1,829,600/4,012,524 = 4,012,524/x
  3. Step 3: Cross multiply
    1,829,600x = 4,012,524 × 4,012,524
  4. Step 4: Simplify right side
    1,829,600x = 16,100,348,850,576
  5. Step 5: Solve for x
    x = 16,100,348,850,576/1,829,600
  6. Step 6: Final answer
    x = 8,799,928.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.