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Finding the Third Proportional to 559,080 and 1,206,684

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Solution

The third proportional to 559,080 and 1,206,684 is: 2,604,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,080 : 1,206,684 = 1,206,684 : x
  2. Step 2: Convert to fraction form
    559,080/1,206,684 = 1,206,684/x
  3. Step 3: Cross multiply
    559,080x = 1,206,684 × 1,206,684
  4. Step 4: Simplify right side
    559,080x = 1,456,086,275,856
  5. Step 5: Solve for x
    x = 1,456,086,275,856/559,080
  6. Step 6: Final answer
    x = 2,604,432.78

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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.