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Finding the Third Proportional to 455,714 and 997,244

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Solution

The third proportional to 455,714 and 997,244 is: 2,182,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,714 : 997,244 = 997,244 : x
  2. Step 2: Convert to fraction form
    455,714/997,244 = 997,244/x
  3. Step 3: Cross multiply
    455,714x = 997,244 × 997,244
  4. Step 4: Simplify right side
    455,714x = 994,495,595,536
  5. Step 5: Solve for x
    x = 994,495,595,536/455,714
  6. Step 6: Final answer
    x = 2,182,280.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.