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Finding the Third Proportional to 566,260 and 1,237,532

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Solution

The third proportional to 566,260 and 1,237,532 is: 2,704,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,260 : 1,237,532 = 1,237,532 : x
  2. Step 2: Convert to fraction form
    566,260/1,237,532 = 1,237,532/x
  3. Step 3: Cross multiply
    566,260x = 1,237,532 × 1,237,532
  4. Step 4: Simplify right side
    566,260x = 1,531,485,451,024
  5. Step 5: Solve for x
    x = 1,531,485,451,024/566,260
  6. Step 6: Final answer
    x = 2,704,562.31

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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.