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Finding the Third Proportional to 427,464 and 940,248

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Solution

The third proportional to 427,464 and 940,248 is: 2,068,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,464 : 940,248 = 940,248 : x
  2. Step 2: Convert to fraction form
    427,464/940,248 = 940,248/x
  3. Step 3: Cross multiply
    427,464x = 940,248 × 940,248
  4. Step 4: Simplify right side
    427,464x = 884,066,301,504
  5. Step 5: Solve for x
    x = 884,066,301,504/427,464
  6. Step 6: Final answer
    x = 2,068,165.51

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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.