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Finding the Third Proportional to 611,932 and 1,332,742

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Solution

The third proportional to 611,932 and 1,332,742 is: 2,902,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,932 : 1,332,742 = 1,332,742 : x
  2. Step 2: Convert to fraction form
    611,932/1,332,742 = 1,332,742/x
  3. Step 3: Cross multiply
    611,932x = 1,332,742 × 1,332,742
  4. Step 4: Simplify right side
    611,932x = 1,776,201,238,564
  5. Step 5: Solve for x
    x = 1,776,201,238,564/611,932
  6. Step 6: Final answer
    x = 2,902,612.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.