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Finding the Third Proportional to 716,971.50 and 1,467,021.38

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Solution

The third proportional to 716,971.50 and 1,467,021.38 is: 3,001,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,971.50 : 1,467,021.38 = 1,467,021.38 : x
  2. Step 2: Convert to fraction form
    716,971.50/1,467,021.38 = 1,467,021.38/x
  3. Step 3: Cross multiply
    716,971.50x = 1,467,021.38 × 1,467,021.38
  4. Step 4: Simplify right side
    716,971.50x = 2,152,151,714,706.89
  5. Step 5: Solve for x
    x = 2,152,151,714,706.89/716,971.50
  6. Step 6: Final answer
    x = 3,001,725.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.