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Finding the Third Proportional to 490,794 and 1,038,175.50

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Solution

The third proportional to 490,794 and 1,038,175.50 is: 2,196,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,794 : 1,038,175.50 = 1,038,175.50 : x
  2. Step 2: Convert to fraction form
    490,794/1,038,175.50 = 1,038,175.50/x
  3. Step 3: Cross multiply
    490,794x = 1,038,175.50 × 1,038,175.50
  4. Step 4: Simplify right side
    490,794x = 1,077,808,368,800.25
  5. Step 5: Solve for x
    x = 1,077,808,368,800.25/490,794
  6. Step 6: Final answer
    x = 2,196,050.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.