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Finding the Third Proportional to 976,270 and 2,102,395

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Solution

The third proportional to 976,270 and 2,102,395 is: 4,527,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,270 : 2,102,395 = 2,102,395 : x
  2. Step 2: Convert to fraction form
    976,270/2,102,395 = 2,102,395/x
  3. Step 3: Cross multiply
    976,270x = 2,102,395 × 2,102,395
  4. Step 4: Simplify right side
    976,270x = 4,420,064,736,025
  5. Step 5: Solve for x
    x = 4,420,064,736,025/976,270
  6. Step 6: Final answer
    x = 4,527,502.37

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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.