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Finding the Third Proportional to 571,882 and 1,237,907

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Solution

The third proportional to 571,882 and 1,237,907 is: 2,679,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,882 : 1,237,907 = 1,237,907 : x
  2. Step 2: Convert to fraction form
    571,882/1,237,907 = 1,237,907/x
  3. Step 3: Cross multiply
    571,882x = 1,237,907 × 1,237,907
  4. Step 4: Simplify right side
    571,882x = 1,532,413,740,649
  5. Step 5: Solve for x
    x = 1,532,413,740,649/571,882
  6. Step 6: Final answer
    x = 2,679,597.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.