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Finding the Third Proportional to 431,642 and 940,504

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Solution

The third proportional to 431,642 and 940,504 is: 2,049,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,642 : 940,504 = 940,504 : x
  2. Step 2: Convert to fraction form
    431,642/940,504 = 940,504/x
  3. Step 3: Cross multiply
    431,642x = 940,504 × 940,504
  4. Step 4: Simplify right side
    431,642x = 884,547,774,016
  5. Step 5: Solve for x
    x = 884,547,774,016/431,642
  6. Step 6: Final answer
    x = 2,049,262.52

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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.