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Finding the Third Proportional to 674,491.22 and 1,445,135.34

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Solution

The third proportional to 674,491.22 and 1,445,135.34 is: 3,096,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,491.22 : 1,445,135.34 = 1,445,135.34 : x
  2. Step 2: Convert to fraction form
    674,491.22/1,445,135.34 = 1,445,135.34/x
  3. Step 3: Cross multiply
    674,491.22x = 1,445,135.34 × 1,445,135.34
  4. Step 4: Simplify right side
    674,491.22x = 2,088,416,161,755.43
  5. Step 5: Solve for x
    x = 2,088,416,161,755.43/674,491.22
  6. Step 6: Final answer
    x = 3,096,283.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.