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Finding the Third Proportional to 976,287 and 2,102,436

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Solution

The third proportional to 976,287 and 2,102,436 is: 4,527,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,287 : 2,102,436 = 2,102,436 : x
  2. Step 2: Convert to fraction form
    976,287/2,102,436 = 2,102,436/x
  3. Step 3: Cross multiply
    976,287x = 2,102,436 × 2,102,436
  4. Step 4: Simplify right side
    976,287x = 4,420,237,134,096
  5. Step 5: Solve for x
    x = 4,420,237,134,096/976,287
  6. Step 6: Final answer
    x = 4,527,600.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.