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Finding the Third Proportional to 585,222 and 1,257,740

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Solution

The third proportional to 585,222 and 1,257,740 is: 2,703,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,222 : 1,257,740 = 1,257,740 : x
  2. Step 2: Convert to fraction form
    585,222/1,257,740 = 1,257,740/x
  3. Step 3: Cross multiply
    585,222x = 1,257,740 × 1,257,740
  4. Step 4: Simplify right side
    585,222x = 1,581,909,907,600
  5. Step 5: Solve for x
    x = 1,581,909,907,600/585,222
  6. Step 6: Final answer
    x = 2,703,093.71

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