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Finding the Third Proportional to 512,633 and 1,123,987

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Solution

The third proportional to 512,633 and 1,123,987 is: 2,464,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,633 : 1,123,987 = 1,123,987 : x
  2. Step 2: Convert to fraction form
    512,633/1,123,987 = 1,123,987/x
  3. Step 3: Cross multiply
    512,633x = 1,123,987 × 1,123,987
  4. Step 4: Simplify right side
    512,633x = 1,263,346,776,169
  5. Step 5: Solve for x
    x = 1,263,346,776,169/512,633
  6. Step 6: Final answer
    x = 2,464,427.33

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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.