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Finding the Third Proportional to 1,216,134 and 2,815,027.50

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Solution

The third proportional to 1,216,134 and 2,815,027.50 is: 6,516,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,134 : 2,815,027.50 = 2,815,027.50 : x
  2. Step 2: Convert to fraction form
    1,216,134/2,815,027.50 = 2,815,027.50/x
  3. Step 3: Cross multiply
    1,216,134x = 2,815,027.50 × 2,815,027.50
  4. Step 4: Simplify right side
    1,216,134x = 7,924,379,825,756.25
  5. Step 5: Solve for x
    x = 7,924,379,825,756.25/1,216,134
  6. Step 6: Final answer
    x = 6,516,041.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.