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Finding the Third Proportional to 568,636 and 1,216,004

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Solution

The third proportional to 568,636 and 1,216,004 is: 2,600,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,636 : 1,216,004 = 1,216,004 : x
  2. Step 2: Convert to fraction form
    568,636/1,216,004 = 1,216,004/x
  3. Step 3: Cross multiply
    568,636x = 1,216,004 × 1,216,004
  4. Step 4: Simplify right side
    568,636x = 1,478,665,728,016
  5. Step 5: Solve for x
    x = 1,478,665,728,016/568,636
  6. Step 6: Final answer
    x = 2,600,373.05

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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.