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Finding the Third Proportional to 616,626 and 1,345,008

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Solution

The third proportional to 616,626 and 1,345,008 is: 2,933,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,626 : 1,345,008 = 1,345,008 : x
  2. Step 2: Convert to fraction form
    616,626/1,345,008 = 1,345,008/x
  3. Step 3: Cross multiply
    616,626x = 1,345,008 × 1,345,008
  4. Step 4: Simplify right side
    616,626x = 1,809,046,520,064
  5. Step 5: Solve for x
    x = 1,809,046,520,064/616,626
  6. Step 6: Final answer
    x = 2,933,782.42

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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.