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Finding the Third Proportional to 610,180 and 1,270,861

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Solution

The third proportional to 610,180 and 1,270,861 is: 2,646,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,180 : 1,270,861 = 1,270,861 : x
  2. Step 2: Convert to fraction form
    610,180/1,270,861 = 1,270,861/x
  3. Step 3: Cross multiply
    610,180x = 1,270,861 × 1,270,861
  4. Step 4: Simplify right side
    610,180x = 1,615,087,681,321
  5. Step 5: Solve for x
    x = 1,615,087,681,321/610,180
  6. Step 6: Final answer
    x = 2,646,903.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.