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Finding the Third Proportional to 1,414,211.06 and 2,189,347.31

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Solution

The third proportional to 1,414,211.06 and 2,189,347.31 is: 3,389,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,211.06 : 2,189,347.31 = 2,189,347.31 : x
  2. Step 2: Convert to fraction form
    1,414,211.06/2,189,347.31 = 2,189,347.31/x
  3. Step 3: Cross multiply
    1,414,211.06x = 2,189,347.31 × 2,189,347.31
  4. Step 4: Simplify right side
    1,414,211.06x = 4,793,241,654,750.97
  5. Step 5: Solve for x
    x = 4,793,241,654,750.97/1,414,211.06
  6. Step 6: Final answer
    x = 3,389,339.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.