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Finding the Third Proportional to 455,646 and 997,071

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Solution

The third proportional to 455,646 and 997,071 is: 2,181,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,646 : 997,071 = 997,071 : x
  2. Step 2: Convert to fraction form
    455,646/997,071 = 997,071/x
  3. Step 3: Cross multiply
    455,646x = 997,071 × 997,071
  4. Step 4: Simplify right side
    455,646x = 994,150,579,041
  5. Step 5: Solve for x
    x = 994,150,579,041/455,646
  6. Step 6: Final answer
    x = 2,181,848.58

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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.