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Finding the Third Proportional to 976,016 and 2,114,944

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Solution

The third proportional to 976,016 and 2,114,944 is: 4,582,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,016 : 2,114,944 = 2,114,944 : x
  2. Step 2: Convert to fraction form
    976,016/2,114,944 = 2,114,944/x
  3. Step 3: Cross multiply
    976,016x = 2,114,944 × 2,114,944
  4. Step 4: Simplify right side
    976,016x = 4,472,988,123,136
  5. Step 5: Solve for x
    x = 4,472,988,123,136/976,016
  6. Step 6: Final answer
    x = 4,582,904.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.