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Finding the Third Proportional to 815,113.13 and 1,197,731.81

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Solution

The third proportional to 815,113.13 and 1,197,731.81 is: 1,759,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,113.13 : 1,197,731.81 = 1,197,731.81 : x
  2. Step 2: Convert to fraction form
    815,113.13/1,197,731.81 = 1,197,731.81/x
  3. Step 3: Cross multiply
    815,113.13x = 1,197,731.81 × 1,197,731.81
  4. Step 4: Simplify right side
    815,113.13x = 1,434,561,494,674.54
  5. Step 5: Solve for x
    x = 1,434,561,494,674.54/815,113.13
  6. Step 6: Final answer
    x = 1,759,953.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.