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Finding the Third Proportional to 566,541 and 1,217,286

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Solution

The third proportional to 566,541 and 1,217,286 is: 2,615,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,541 : 1,217,286 = 1,217,286 : x
  2. Step 2: Convert to fraction form
    566,541/1,217,286 = 1,217,286/x
  3. Step 3: Cross multiply
    566,541x = 1,217,286 × 1,217,286
  4. Step 4: Simplify right side
    566,541x = 1,481,785,205,796
  5. Step 5: Solve for x
    x = 1,481,785,205,796/566,541
  6. Step 6: Final answer
    x = 2,615,495.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.