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Finding the Third Proportional to 579,848 and 1,176,000

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Solution

The third proportional to 579,848 and 1,176,000 is: 2,385,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,848 : 1,176,000 = 1,176,000 : x
  2. Step 2: Convert to fraction form
    579,848/1,176,000 = 1,176,000/x
  3. Step 3: Cross multiply
    579,848x = 1,176,000 × 1,176,000
  4. Step 4: Simplify right side
    579,848x = 1,382,976,000,000
  5. Step 5: Solve for x
    x = 1,382,976,000,000/579,848
  6. Step 6: Final answer
    x = 2,385,066.43

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.