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Finding the Third Proportional to 577,175 and 1,265,172

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Solution

The third proportional to 577,175 and 1,265,172 is: 2,773,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,175 : 1,265,172 = 1,265,172 : x
  2. Step 2: Convert to fraction form
    577,175/1,265,172 = 1,265,172/x
  3. Step 3: Cross multiply
    577,175x = 1,265,172 × 1,265,172
  4. Step 4: Simplify right side
    577,175x = 1,600,660,189,584
  5. Step 5: Solve for x
    x = 1,600,660,189,584/577,175
  6. Step 6: Final answer
    x = 2,773,266.67

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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.