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Finding the Third Proportional to 401,184 and 865,062

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Solution

The third proportional to 401,184 and 865,062 is: 1,865,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,184 : 865,062 = 865,062 : x
  2. Step 2: Convert to fraction form
    401,184/865,062 = 865,062/x
  3. Step 3: Cross multiply
    401,184x = 865,062 × 865,062
  4. Step 4: Simplify right side
    401,184x = 748,332,263,844
  5. Step 5: Solve for x
    x = 748,332,263,844/401,184
  6. Step 6: Final answer
    x = 1,865,309.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.