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Finding the Third Proportional to 455,690 and 997,158

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Solution

The third proportional to 455,690 and 997,158 is: 2,182,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,690 : 997,158 = 997,158 : x
  2. Step 2: Convert to fraction form
    455,690/997,158 = 997,158/x
  3. Step 3: Cross multiply
    455,690x = 997,158 × 997,158
  4. Step 4: Simplify right side
    455,690x = 994,324,076,964
  5. Step 5: Solve for x
    x = 994,324,076,964/455,690
  6. Step 6: Final answer
    x = 2,182,018.65

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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.