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Finding the Third Proportional to 566,256 and 1,237,524

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Solution

The third proportional to 566,256 and 1,237,524 is: 2,704,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,256 : 1,237,524 = 1,237,524 : x
  2. Step 2: Convert to fraction form
    566,256/1,237,524 = 1,237,524/x
  3. Step 3: Cross multiply
    566,256x = 1,237,524 × 1,237,524
  4. Step 4: Simplify right side
    566,256x = 1,531,465,650,576
  5. Step 5: Solve for x
    x = 1,531,465,650,576/566,256
  6. Step 6: Final answer
    x = 2,704,546.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.