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Finding the Third Proportional to 826,060 and 1,286,205

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Solution

The third proportional to 826,060 and 1,286,205 is: 2,002,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,060 : 1,286,205 = 1,286,205 : x
  2. Step 2: Convert to fraction form
    826,060/1,286,205 = 1,286,205/x
  3. Step 3: Cross multiply
    826,060x = 1,286,205 × 1,286,205
  4. Step 4: Simplify right side
    826,060x = 1,654,323,302,025
  5. Step 5: Solve for x
    x = 1,654,323,302,025/826,060
  6. Step 6: Final answer
    x = 2,002,667.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.