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Finding the Third Proportional to 430,786.50 and 939,906

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Solution

The third proportional to 430,786.50 and 939,906 is: 2,050,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,786.50 : 939,906 = 939,906 : x
  2. Step 2: Convert to fraction form
    430,786.50/939,906 = 939,906/x
  3. Step 3: Cross multiply
    430,786.50x = 939,906 × 939,906
  4. Step 4: Simplify right side
    430,786.50x = 883,423,288,836
  5. Step 5: Solve for x
    x = 883,423,288,836/430,786.50
  6. Step 6: Final answer
    x = 2,050,721.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.