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Finding the Third Proportional to 761,706 and 1,183,233

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Solution

The third proportional to 761,706 and 1,183,233 is: 1,838,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,706 : 1,183,233 = 1,183,233 : x
  2. Step 2: Convert to fraction form
    761,706/1,183,233 = 1,183,233/x
  3. Step 3: Cross multiply
    761,706x = 1,183,233 × 1,183,233
  4. Step 4: Simplify right side
    761,706x = 1,400,040,332,289
  5. Step 5: Solve for x
    x = 1,400,040,332,289/761,706
  6. Step 6: Final answer
    x = 1,838,032.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.