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Finding the Third Proportional to 512,993 and 1,113,602

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Solution

The third proportional to 512,993 and 1,113,602 is: 2,417,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,993 : 1,113,602 = 1,113,602 : x
  2. Step 2: Convert to fraction form
    512,993/1,113,602 = 1,113,602/x
  3. Step 3: Cross multiply
    512,993x = 1,113,602 × 1,113,602
  4. Step 4: Simplify right side
    512,993x = 1,240,109,414,404
  5. Step 5: Solve for x
    x = 1,240,109,414,404/512,993
  6. Step 6: Final answer
    x = 2,417,400.27

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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.