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Finding the Third Proportional to 516,297.16 and 1,118,401.17

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Solution

The third proportional to 516,297.16 and 1,118,401.17 is: 2,422,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,297.16 : 1,118,401.17 = 1,118,401.17 : x
  2. Step 2: Convert to fraction form
    516,297.16/1,118,401.17 = 1,118,401.17/x
  3. Step 3: Cross multiply
    516,297.16x = 1,118,401.17 × 1,118,401.17
  4. Step 4: Simplify right side
    516,297.16x = 1,250,821,181,251.37
  5. Step 5: Solve for x
    x = 1,250,821,181,251.37/516,297.16
  6. Step 6: Final answer
    x = 2,422,676.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.