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Finding the Third Proportional to 465,935 and 1,008,037

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Solution

The third proportional to 465,935 and 1,008,037 is: 2,180,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,935 : 1,008,037 = 1,008,037 : x
  2. Step 2: Convert to fraction form
    465,935/1,008,037 = 1,008,037/x
  3. Step 3: Cross multiply
    465,935x = 1,008,037 × 1,008,037
  4. Step 4: Simplify right side
    465,935x = 1,016,138,593,369
  5. Step 5: Solve for x
    x = 1,016,138,593,369/465,935
  6. Step 6: Final answer
    x = 2,180,859.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.