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Finding the Third Proportional to 521,052 and 1,135,740

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Solution

The third proportional to 521,052 and 1,135,740 is: 2,475,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,052 : 1,135,740 = 1,135,740 : x
  2. Step 2: Convert to fraction form
    521,052/1,135,740 = 1,135,740/x
  3. Step 3: Cross multiply
    521,052x = 1,135,740 × 1,135,740
  4. Step 4: Simplify right side
    521,052x = 1,289,905,347,600
  5. Step 5: Solve for x
    x = 1,289,905,347,600/521,052
  6. Step 6: Final answer
    x = 2,475,578.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.