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Finding the Third Proportional to 980,264 and 2,134,935

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Solution

The third proportional to 980,264 and 2,134,935 is: 4,649,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,264 : 2,134,935 = 2,134,935 : x
  2. Step 2: Convert to fraction form
    980,264/2,134,935 = 2,134,935/x
  3. Step 3: Cross multiply
    980,264x = 2,134,935 × 2,134,935
  4. Step 4: Simplify right side
    980,264x = 4,557,947,454,225
  5. Step 5: Solve for x
    x = 4,557,947,454,225/980,264
  6. Step 6: Final answer
    x = 4,649,714.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.