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Finding the Third Proportional to 775,980 and 1,674,288

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Solution

The third proportional to 775,980 and 1,674,288 is: 3,612,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,980 : 1,674,288 = 1,674,288 : x
  2. Step 2: Convert to fraction form
    775,980/1,674,288 = 1,674,288/x
  3. Step 3: Cross multiply
    775,980x = 1,674,288 × 1,674,288
  4. Step 4: Simplify right side
    775,980x = 2,803,240,306,944
  5. Step 5: Solve for x
    x = 2,803,240,306,944/775,980
  6. Step 6: Final answer
    x = 3,612,516.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.