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Finding the Third Proportional to 916,262 and 1,398,092

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Solution

The third proportional to 916,262 and 1,398,092 is: 2,133,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,262 : 1,398,092 = 1,398,092 : x
  2. Step 2: Convert to fraction form
    916,262/1,398,092 = 1,398,092/x
  3. Step 3: Cross multiply
    916,262x = 1,398,092 × 1,398,092
  4. Step 4: Simplify right side
    916,262x = 1,954,661,240,464
  5. Step 5: Solve for x
    x = 1,954,661,240,464/916,262
  6. Step 6: Final answer
    x = 2,133,299.47

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Why These Related Problems?

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