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Finding the Third Proportional to 406,080 and 935,904

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Solution

The third proportional to 406,080 and 935,904 is: 2,157,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,080 : 935,904 = 935,904 : x
  2. Step 2: Convert to fraction form
    406,080/935,904 = 935,904/x
  3. Step 3: Cross multiply
    406,080x = 935,904 × 935,904
  4. Step 4: Simplify right side
    406,080x = 875,916,297,216
  5. Step 5: Solve for x
    x = 875,916,297,216/406,080
  6. Step 6: Final answer
    x = 2,157,004.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.