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Finding the Third Proportional to 565,595 and 1,230,698

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Solution

The third proportional to 565,595 and 1,230,698 is: 2,677,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,595 : 1,230,698 = 1,230,698 : x
  2. Step 2: Convert to fraction form
    565,595/1,230,698 = 1,230,698/x
  3. Step 3: Cross multiply
    565,595x = 1,230,698 × 1,230,698
  4. Step 4: Simplify right side
    565,595x = 1,514,617,567,204
  5. Step 5: Solve for x
    x = 1,514,617,567,204/565,595
  6. Step 6: Final answer
    x = 2,677,918.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.