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Finding the Third Proportional to 579,964 and 1,277,656

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Solution

The third proportional to 579,964 and 1,277,656 is: 2,814,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,964 : 1,277,656 = 1,277,656 : x
  2. Step 2: Convert to fraction form
    579,964/1,277,656 = 1,277,656/x
  3. Step 3: Cross multiply
    579,964x = 1,277,656 × 1,277,656
  4. Step 4: Simplify right side
    579,964x = 1,632,404,854,336
  5. Step 5: Solve for x
    x = 1,632,404,854,336/579,964
  6. Step 6: Final answer
    x = 2,814,665.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.