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Finding the Third Proportional to 512,314 and 1,113,224

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Solution

The third proportional to 512,314 and 1,113,224 is: 2,418,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,314 : 1,113,224 = 1,113,224 : x
  2. Step 2: Convert to fraction form
    512,314/1,113,224 = 1,113,224/x
  3. Step 3: Cross multiply
    512,314x = 1,113,224 × 1,113,224
  4. Step 4: Simplify right side
    512,314x = 1,239,267,674,176
  5. Step 5: Solve for x
    x = 1,239,267,674,176/512,314
  6. Step 6: Final answer
    x = 2,418,961.17

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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.