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Finding the Third Proportional to 455,666 and 997,114

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Solution

The third proportional to 455,666 and 997,114 is: 2,181,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,666 : 997,114 = 997,114 : x
  2. Step 2: Convert to fraction form
    455,666/997,114 = 997,114/x
  3. Step 3: Cross multiply
    455,666x = 997,114 × 997,114
  4. Step 4: Simplify right side
    455,666x = 994,236,328,996
  5. Step 5: Solve for x
    x = 994,236,328,996/455,666
  6. Step 6: Final answer
    x = 2,181,941.00

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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.