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Finding the Third Proportional to 579,984 and 1,229,600

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Solution

The third proportional to 579,984 and 1,229,600 is: 2,606,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,984 : 1,229,600 = 1,229,600 : x
  2. Step 2: Convert to fraction form
    579,984/1,229,600 = 1,229,600/x
  3. Step 3: Cross multiply
    579,984x = 1,229,600 × 1,229,600
  4. Step 4: Simplify right side
    579,984x = 1,511,916,160,000
  5. Step 5: Solve for x
    x = 1,511,916,160,000/579,984
  6. Step 6: Final answer
    x = 2,606,823.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.