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Finding the Third Proportional to 690,096.38 and 1,508,131.13

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Solution

The third proportional to 690,096.38 and 1,508,131.13 is: 3,295,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,096.38 : 1,508,131.13 = 1,508,131.13 : x
  2. Step 2: Convert to fraction form
    690,096.38/1,508,131.13 = 1,508,131.13/x
  3. Step 3: Cross multiply
    690,096.38x = 1,508,131.13 × 1,508,131.13
  4. Step 4: Simplify right side
    690,096.38x = 2,274,459,490,193.77
  5. Step 5: Solve for x
    x = 2,274,459,490,193.77/690,096.38
  6. Step 6: Final answer
    x = 3,295,857.76

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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.