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Finding the Third Proportional to 974,794.50 and 2,213,851.50

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Solution

The third proportional to 974,794.50 and 2,213,851.50 is: 5,027,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,794.50 : 2,213,851.50 = 2,213,851.50 : x
  2. Step 2: Convert to fraction form
    974,794.50/2,213,851.50 = 2,213,851.50/x
  3. Step 3: Cross multiply
    974,794.50x = 2,213,851.50 × 2,213,851.50
  4. Step 4: Simplify right side
    974,794.50x = 4,901,138,464,052.25
  5. Step 5: Solve for x
    x = 4,901,138,464,052.25/974,794.50
  6. Step 6: Final answer
    x = 5,027,868.40

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.