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Finding the Third Proportional to 645,108.75 and 997,218

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Solution

The third proportional to 645,108.75 and 997,218 is: 1,541,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,108.75 : 997,218 = 997,218 : x
  2. Step 2: Convert to fraction form
    645,108.75/997,218 = 997,218/x
  3. Step 3: Cross multiply
    645,108.75x = 997,218 × 997,218
  4. Step 4: Simplify right side
    645,108.75x = 994,443,739,524
  5. Step 5: Solve for x
    x = 994,443,739,524/645,108.75
  6. Step 6: Final answer
    x = 1,541,513.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.