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Finding the Third Proportional to 455,711.06 and 997,191

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Solution

The third proportional to 455,711.06 and 997,191 is: 2,182,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,711.06 : 997,191 = 997,191 : x
  2. Step 2: Convert to fraction form
    455,711.06/997,191 = 997,191/x
  3. Step 3: Cross multiply
    455,711.06x = 997,191 × 997,191
  4. Step 4: Simplify right side
    455,711.06x = 994,389,890,481
  5. Step 5: Solve for x
    x = 994,389,890,481/455,711.06
  6. Step 6: Final answer
    x = 2,182,062.22

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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.