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Finding the Third Proportional to 610,433 and 1,325,947

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Solution

The third proportional to 610,433 and 1,325,947 is: 2,880,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,433 : 1,325,947 = 1,325,947 : x
  2. Step 2: Convert to fraction form
    610,433/1,325,947 = 1,325,947/x
  3. Step 3: Cross multiply
    610,433x = 1,325,947 × 1,325,947
  4. Step 4: Simplify right side
    610,433x = 1,758,135,446,809
  5. Step 5: Solve for x
    x = 1,758,135,446,809/610,433
  6. Step 6: Final answer
    x = 2,880,144.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.