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Finding the Third Proportional to 535,086 and 1,114,438.50

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Solution

The third proportional to 535,086 and 1,114,438.50 is: 2,321,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086 : 1,114,438.50 = 1,114,438.50 : x
  2. Step 2: Convert to fraction form
    535,086/1,114,438.50 = 1,114,438.50/x
  3. Step 3: Cross multiply
    535,086x = 1,114,438.50 × 1,114,438.50
  4. Step 4: Simplify right side
    535,086x = 1,241,973,170,282.25
  5. Step 5: Solve for x
    x = 1,241,973,170,282.25/535,086
  6. Step 6: Final answer
    x = 2,321,072.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.