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Finding the Third Proportional to 506,870 and 1,178,600

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Solution

The third proportional to 506,870 and 1,178,600 is: 2,740,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,870 : 1,178,600 = 1,178,600 : x
  2. Step 2: Convert to fraction form
    506,870/1,178,600 = 1,178,600/x
  3. Step 3: Cross multiply
    506,870x = 1,178,600 × 1,178,600
  4. Step 4: Simplify right side
    506,870x = 1,389,097,960,000
  5. Step 5: Solve for x
    x = 1,389,097,960,000/506,870
  6. Step 6: Final answer
    x = 2,740,540.89

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.