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Finding the Third Proportional to 947,115 and 1,683,859.50

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Solution

The third proportional to 947,115 and 1,683,859.50 is: 2,993,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,115 : 1,683,859.50 = 1,683,859.50 : x
  2. Step 2: Convert to fraction form
    947,115/1,683,859.50 = 1,683,859.50/x
  3. Step 3: Cross multiply
    947,115x = 1,683,859.50 × 1,683,859.50
  4. Step 4: Simplify right side
    947,115x = 2,835,382,815,740.25
  5. Step 5: Solve for x
    x = 2,835,382,815,740.25/947,115
  6. Step 6: Final answer
    x = 2,993,704.90

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.