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Finding the Third Proportional to 941,730 and 2,044,000

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Solution

The third proportional to 941,730 and 2,044,000 is: 4,436,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,730 : 2,044,000 = 2,044,000 : x
  2. Step 2: Convert to fraction form
    941,730/2,044,000 = 2,044,000/x
  3. Step 3: Cross multiply
    941,730x = 2,044,000 × 2,044,000
  4. Step 4: Simplify right side
    941,730x = 4,177,936,000,000
  5. Step 5: Solve for x
    x = 4,177,936,000,000/941,730
  6. Step 6: Final answer
    x = 4,436,447.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.