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Finding the Third Proportional to 579,006 and 1,275,807

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Solution

The third proportional to 579,006 and 1,275,807 is: 2,811,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,006 : 1,275,807 = 1,275,807 : x
  2. Step 2: Convert to fraction form
    579,006/1,275,807 = 1,275,807/x
  3. Step 3: Cross multiply
    579,006x = 1,275,807 × 1,275,807
  4. Step 4: Simplify right side
    579,006x = 1,627,683,501,249
  5. Step 5: Solve for x
    x = 1,627,683,501,249/579,006
  6. Step 6: Final answer
    x = 2,811,168.63

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Why These Related Problems?

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