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Finding the Third Proportional to 1,180,805 and 1,879,811

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Solution

The third proportional to 1,180,805 and 1,879,811 is: 2,992,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,805 : 1,879,811 = 1,879,811 : x
  2. Step 2: Convert to fraction form
    1,180,805/1,879,811 = 1,879,811/x
  3. Step 3: Cross multiply
    1,180,805x = 1,879,811 × 1,879,811
  4. Step 4: Simplify right side
    1,180,805x = 3,533,689,395,721
  5. Step 5: Solve for x
    x = 3,533,689,395,721/1,180,805
  6. Step 6: Final answer
    x = 2,992,610.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.