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Finding the Third Proportional to 375,918 and 877,172

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Solution

The third proportional to 375,918 and 877,172 is: 2,046,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,918 : 877,172 = 877,172 : x
  2. Step 2: Convert to fraction form
    375,918/877,172 = 877,172/x
  3. Step 3: Cross multiply
    375,918x = 877,172 × 877,172
  4. Step 4: Simplify right side
    375,918x = 769,430,717,584
  5. Step 5: Solve for x
    x = 769,430,717,584/375,918
  6. Step 6: Final answer
    x = 2,046,804.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.