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Finding the Third Proportional to 512,307 and 1,113,208

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Solution

The third proportional to 512,307 and 1,113,208 is: 2,418,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,307 : 1,113,208 = 1,113,208 : x
  2. Step 2: Convert to fraction form
    512,307/1,113,208 = 1,113,208/x
  3. Step 3: Cross multiply
    512,307x = 1,113,208 × 1,113,208
  4. Step 4: Simplify right side
    512,307x = 1,239,232,051,264
  5. Step 5: Solve for x
    x = 1,239,232,051,264/512,307
  6. Step 6: Final answer
    x = 2,418,924.69

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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.