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Finding the Third Proportional to 849,546.84 and 1,286,659.13

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Solution

The third proportional to 849,546.84 and 1,286,659.13 is: 1,948,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,546.84 : 1,286,659.13 = 1,286,659.13 : x
  2. Step 2: Convert to fraction form
    849,546.84/1,286,659.13 = 1,286,659.13/x
  3. Step 3: Cross multiply
    849,546.84x = 1,286,659.13 × 1,286,659.13
  4. Step 4: Simplify right side
    849,546.84x = 1,655,491,703,945.77
  5. Step 5: Solve for x
    x = 1,655,491,703,945.77/849,546.84
  6. Step 6: Final answer
    x = 1,948,676.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.