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Finding the Third Proportional to 512,732 and 1,122,007

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Solution

The third proportional to 512,732 and 1,122,007 is: 2,455,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,732 : 1,122,007 = 1,122,007 : x
  2. Step 2: Convert to fraction form
    512,732/1,122,007 = 1,122,007/x
  3. Step 3: Cross multiply
    512,732x = 1,122,007 × 1,122,007
  4. Step 4: Simplify right side
    512,732x = 1,258,899,708,049
  5. Step 5: Solve for x
    x = 1,258,899,708,049/512,732
  6. Step 6: Final answer
    x = 2,455,278.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.