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Finding the Third Proportional to 432,540 and 940,896

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Solution

The third proportional to 432,540 and 940,896 is: 2,046,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,540 : 940,896 = 940,896 : x
  2. Step 2: Convert to fraction form
    432,540/940,896 = 940,896/x
  3. Step 3: Cross multiply
    432,540x = 940,896 × 940,896
  4. Step 4: Simplify right side
    432,540x = 885,285,282,816
  5. Step 5: Solve for x
    x = 885,285,282,816/432,540
  6. Step 6: Final answer
    x = 2,046,713.10

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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.