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Finding the Third Proportional to 423,738 and 932,772

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Solution

The third proportional to 423,738 and 932,772 is: 2,053,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,738 : 932,772 = 932,772 : x
  2. Step 2: Convert to fraction form
    423,738/932,772 = 932,772/x
  3. Step 3: Cross multiply
    423,738x = 932,772 × 932,772
  4. Step 4: Simplify right side
    423,738x = 870,063,603,984
  5. Step 5: Solve for x
    x = 870,063,603,984/423,738
  6. Step 6: Final answer
    x = 2,053,305.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.