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Finding the Third Proportional to 916,238 and 1,398,049

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Solution

The third proportional to 916,238 and 1,398,049 is: 2,133,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,238 : 1,398,049 = 1,398,049 : x
  2. Step 2: Convert to fraction form
    916,238/1,398,049 = 1,398,049/x
  3. Step 3: Cross multiply
    916,238x = 1,398,049 × 1,398,049
  4. Step 4: Simplify right side
    916,238x = 1,954,541,006,401
  5. Step 5: Solve for x
    x = 1,954,541,006,401/916,238
  6. Step 6: Final answer
    x = 2,133,224.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.