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Finding the Third Proportional to 645,327 and 1,332,085

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Solution

The third proportional to 645,327 and 1,332,085 is: 2,749,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,327 : 1,332,085 = 1,332,085 : x
  2. Step 2: Convert to fraction form
    645,327/1,332,085 = 1,332,085/x
  3. Step 3: Cross multiply
    645,327x = 1,332,085 × 1,332,085
  4. Step 4: Simplify right side
    645,327x = 1,774,450,447,225
  5. Step 5: Solve for x
    x = 1,774,450,447,225/645,327
  6. Step 6: Final answer
    x = 2,749,691.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.