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Finding the Third Proportional to 500,013 and 1,078,211.25

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Solution

The third proportional to 500,013 and 1,078,211.25 is: 2,325,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,013 : 1,078,211.25 = 1,078,211.25 : x
  2. Step 2: Convert to fraction form
    500,013/1,078,211.25 = 1,078,211.25/x
  3. Step 3: Cross multiply
    500,013x = 1,078,211.25 × 1,078,211.25
  4. Step 4: Simplify right side
    500,013x = 1,162,539,499,626.56
  5. Step 5: Solve for x
    x = 1,162,539,499,626.56/500,013
  6. Step 6: Final answer
    x = 2,325,018.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.