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Finding the Third Proportional to 556,256 and 1,211,656

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Solution

The third proportional to 556,256 and 1,211,656 is: 2,639,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,256 : 1,211,656 = 1,211,656 : x
  2. Step 2: Convert to fraction form
    556,256/1,211,656 = 1,211,656/x
  3. Step 3: Cross multiply
    556,256x = 1,211,656 × 1,211,656
  4. Step 4: Simplify right side
    556,256x = 1,468,110,262,336
  5. Step 5: Solve for x
    x = 1,468,110,262,336/556,256
  6. Step 6: Final answer
    x = 2,639,270.88

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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.