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Finding the Third Proportional to 558,798 and 1,206,876

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Solution

The third proportional to 558,798 and 1,206,876 is: 2,606,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,798 : 1,206,876 = 1,206,876 : x
  2. Step 2: Convert to fraction form
    558,798/1,206,876 = 1,206,876/x
  3. Step 3: Cross multiply
    558,798x = 1,206,876 × 1,206,876
  4. Step 4: Simplify right side
    558,798x = 1,456,549,679,376
  5. Step 5: Solve for x
    x = 1,456,549,679,376/558,798
  6. Step 6: Final answer
    x = 2,606,576.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.