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Finding the Third Proportional to 947,479.50 and 2,054,578.50

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Solution

The third proportional to 947,479.50 and 2,054,578.50 is: 4,455,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,479.50 : 2,054,578.50 = 2,054,578.50 : x
  2. Step 2: Convert to fraction form
    947,479.50/2,054,578.50 = 2,054,578.50/x
  3. Step 3: Cross multiply
    947,479.50x = 2,054,578.50 × 2,054,578.50
  4. Step 4: Simplify right side
    947,479.50x = 4,221,292,812,662.25
  5. Step 5: Solve for x
    x = 4,221,292,812,662.25/947,479.50
  6. Step 6: Final answer
    x = 4,455,286.70

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Why These Related Problems?

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