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Finding the Third Proportional to 407,380 and 895,977

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Solution

The third proportional to 407,380 and 895,977 is: 1,970,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,380 : 895,977 = 895,977 : x
  2. Step 2: Convert to fraction form
    407,380/895,977 = 895,977/x
  3. Step 3: Cross multiply
    407,380x = 895,977 × 895,977
  4. Step 4: Simplify right side
    407,380x = 802,774,784,529
  5. Step 5: Solve for x
    x = 802,774,784,529/407,380
  6. Step 6: Final answer
    x = 1,970,579.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.