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Finding the Third Proportional to 610,178.50 and 1,270,859

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Solution

The third proportional to 610,178.50 and 1,270,859 is: 2,646,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,178.50 : 1,270,859 = 1,270,859 : x
  2. Step 2: Convert to fraction form
    610,178.50/1,270,859 = 1,270,859/x
  3. Step 3: Cross multiply
    610,178.50x = 1,270,859 × 1,270,859
  4. Step 4: Simplify right side
    610,178.50x = 1,615,082,597,881
  5. Step 5: Solve for x
    x = 1,615,082,597,881/610,178.50
  6. Step 6: Final answer
    x = 2,646,901.85

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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.