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Finding the Third Proportional to 492,357 and 1,060,035

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Solution

The third proportional to 492,357 and 1,060,035 is: 2,282,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,357 : 1,060,035 = 1,060,035 : x
  2. Step 2: Convert to fraction form
    492,357/1,060,035 = 1,060,035/x
  3. Step 3: Cross multiply
    492,357x = 1,060,035 × 1,060,035
  4. Step 4: Simplify right side
    492,357x = 1,123,674,201,225
  5. Step 5: Solve for x
    x = 1,123,674,201,225/492,357
  6. Step 6: Final answer
    x = 2,282,234.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.