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Finding the Third Proportional to 455,680.69 and 997,140.38

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Solution

The third proportional to 455,680.69 and 997,140.38 is: 2,181,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,680.69 : 997,140.38 = 997,140.38 : x
  2. Step 2: Convert to fraction form
    455,680.69/997,140.38 = 997,140.38/x
  3. Step 3: Cross multiply
    455,680.69x = 997,140.38 × 997,140.38
  4. Step 4: Simplify right side
    455,680.69x = 994,288,927,455.14
  5. Step 5: Solve for x
    x = 994,288,927,455.14/455,680.69
  6. Step 6: Final answer
    x = 2,181,986.10

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