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Finding the Third Proportional to 600,488 and 1,284,880

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Solution

The third proportional to 600,488 and 1,284,880 is: 2,749,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,488 : 1,284,880 = 1,284,880 : x
  2. Step 2: Convert to fraction form
    600,488/1,284,880 = 1,284,880/x
  3. Step 3: Cross multiply
    600,488x = 1,284,880 × 1,284,880
  4. Step 4: Simplify right side
    600,488x = 1,650,916,614,400
  5. Step 5: Solve for x
    x = 1,650,916,614,400/600,488
  6. Step 6: Final answer
    x = 2,749,291.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.