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Finding the Third Proportional to 925,290.84 and 1,380,234.94

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Solution

The third proportional to 925,290.84 and 1,380,234.94 is: 2,058,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,290.84 : 1,380,234.94 = 1,380,234.94 : x
  2. Step 2: Convert to fraction form
    925,290.84/1,380,234.94 = 1,380,234.94/x
  3. Step 3: Cross multiply
    925,290.84x = 1,380,234.94 × 1,380,234.94
  4. Step 4: Simplify right side
    925,290.84x = 1,905,048,482,695.63
  5. Step 5: Solve for x
    x = 1,905,048,482,695.63/925,290.84
  6. Step 6: Final answer
    x = 2,058,864.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.