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Finding the Third Proportional to 2,102,214 and 2,912,153

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Solution

The third proportional to 2,102,214 and 2,912,153 is: 4,034,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,214 : 2,912,153 = 2,912,153 : x
  2. Step 2: Convert to fraction form
    2,102,214/2,912,153 = 2,912,153/x
  3. Step 3: Cross multiply
    2,102,214x = 2,912,153 × 2,912,153
  4. Step 4: Simplify right side
    2,102,214x = 8,480,635,095,409
  5. Step 5: Solve for x
    x = 8,480,635,095,409/2,102,214
  6. Step 6: Final answer
    x = 4,034,144.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.