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Finding the Third Proportional to 565,626 and 1,230,761

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Solution

The third proportional to 565,626 and 1,230,761 is: 2,678,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,626 : 1,230,761 = 1,230,761 : x
  2. Step 2: Convert to fraction form
    565,626/1,230,761 = 1,230,761/x
  3. Step 3: Cross multiply
    565,626x = 1,230,761 × 1,230,761
  4. Step 4: Simplify right side
    565,626x = 1,514,772,639,121
  5. Step 5: Solve for x
    x = 1,514,772,639,121/565,626
  6. Step 6: Final answer
    x = 2,678,046.34

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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.