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Finding the Third Proportional to 551,062 and 1,168,256

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Solution

The third proportional to 551,062 and 1,168,256 is: 2,476,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,062 : 1,168,256 = 1,168,256 : x
  2. Step 2: Convert to fraction form
    551,062/1,168,256 = 1,168,256/x
  3. Step 3: Cross multiply
    551,062x = 1,168,256 × 1,168,256
  4. Step 4: Simplify right side
    551,062x = 1,364,822,081,536
  5. Step 5: Solve for x
    x = 1,364,822,081,536/551,062
  6. Step 6: Final answer
    x = 2,476,712.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.