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Finding the Third Proportional to 1,034,389 and 2,193,171

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Solution

The third proportional to 1,034,389 and 2,193,171 is: 4,650,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,389 : 2,193,171 = 2,193,171 : x
  2. Step 2: Convert to fraction form
    1,034,389/2,193,171 = 2,193,171/x
  3. Step 3: Cross multiply
    1,034,389x = 2,193,171 × 2,193,171
  4. Step 4: Simplify right side
    1,034,389x = 4,809,999,035,241
  5. Step 5: Solve for x
    x = 4,809,999,035,241/1,034,389
  6. Step 6: Final answer
    x = 4,650,087.19

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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.