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Finding the Third Proportional to 553,016 and 1,129,356

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Solution

The third proportional to 553,016 and 1,129,356 is: 2,306,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,016 : 1,129,356 = 1,129,356 : x
  2. Step 2: Convert to fraction form
    553,016/1,129,356 = 1,129,356/x
  3. Step 3: Cross multiply
    553,016x = 1,129,356 × 1,129,356
  4. Step 4: Simplify right side
    553,016x = 1,275,444,974,736
  5. Step 5: Solve for x
    x = 1,275,444,974,736/553,016
  6. Step 6: Final answer
    x = 2,306,343.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.